Answer:
b. It was $15,280. Calculate the amount deposited over 9 years and then subtract it from the balance of $19,600.
Step-by-step explanation:
19,600-4,320 gives you the interest
Answer:
B. It was $15,280.
Step-by-step explanation:
Calculate the total amount deposited:
$40 per month * 12 months per year * 9 years = $4,320
Subtract the total amount deposited from the final balance: $19,600 - $4,320 = $15,280
The result is the interest earned: $15,280.
So, the answer is B. It was $15,280.
Erik rides his motorbike 2623
2
3
miles in23
2
3
hour. What is Erik’s average speed in miles per hour? Enter the number in the box.
Erik’s average speed in miles per hour is 114. 04 miles per hour
What is average speed?Average speed can simply be defined as the total distance that is traveled by the object in a particular time range.
It is also known as a scalar quantity, that is, it has magnitude but no direction.
From the information given, we have that;
Distance = 2623 milesTime taken = 23 hoursThe formula for average speed is expressed as;
Average speed = Distance/ time
Substitute the values, we get;
Average speed = 2623/23
Divide the values, we get;
Average speed = 114. 04 miles per hour
Hence, the value is 114. 04 miles per hour
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ryan rides his bike for 30 minutes and travels a distance of 4 miles. how fast was he traveling? 4 miles per hour 6 miles per hour 8 miles per hour none of these choices are correct.
Ryan rides his bike for 30 minutes and travels a distance of 4 miles. He was traveling 8 miles per hours.
Ryan rides his bike for 30 minutes and travels a distance of 4 miles.
We have to determine how fast he was traveling.
Time = 30 minutes
First we convert the minutes in hours.
As we know that;
1 hour = 60 minutes.
So 1 minute = 1/60 hours
30 minutes = 30/60 hours
30 minutes = 1/2 hours
Distance = 4 miles
The formula of speed is;
Speed = Distance/Time
Speed = 4/(1/2) miles per hours
Speed = 4 × 2 miles per hours
Speed = 8 miles per hours
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Denise has $250 in her checking account. Each time she buys a bottle of water, she spends $2. If Denise buys
x bottles of water, how much money will remain in her account?(1 نقطة)
After buying x bottles of water, the money will remain in her checking account is equals to the $(250 - 2x). So, the correct answer is option (b).
We have Denise has a checking account.
The amount on her checking account = $250
The price of each water bottle = $2
Number of boltes bought by Denise = x
Let the total remaining money after the spend by Denise on water bottles be " $y". Total cost of x bottles = number of bottles × cost of one bottle
= x× $2 = $ 2x
We have to determine the value of y. The money remaining in her account = total amount in her checking account - spends money
=> y = $ 250 - $2x
which is a two variable linear equation, when we know that how many bottles she buy, i.e., value of x then we will determine the value of y. So, the required value is $ 250 - $2x .
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Complete question:
Denise has $250 in her checking account. Each time she buys a bottle of water, she spends $2. If Denise buys
x bottles of water, how much money will remain in her account?
a) $ 250 + $2x
b) $ 250 - $2x
c) $250
find length of segment bd round to tenths place
Answer:
BD = 2.4
Step-by-step explanation:
the answer can be easily found by using pythagoreans theorem.
BD = height (h)
3 = SqrRt ( 1.8² + h² )
3² = 1.8² + h²
9 - 1.8² = h²
5.76 = h²
h = 2.4
In circle Q with the measure of minor arc PR= 48°, find mZPSR.
S
A
R
р P.
The proportion of minor arc ZPSR is equivalent to 48 degrees.
Given a circle Q with focus Q and minor curve PR with a proportion of 48 degrees, the objective is to find the proportion of ZPSR, the focal point that compares to the minor circular segment PR.
Since the focal point and the circular segment length of a circle are corresponding, the proportion of ZPSR can be found by partitioning the proportion of the minor curve PR by 360 degrees and afterward duplicating by the all out number of degrees all around, which is 360.
The recipe for the focal point comparing to a minor circular segment is given by:
mZPSR = (mPR/360) × 360
Subbing the given worth of mPR = 48, we get:
mZPSR = (48/360) × 360
= (1/7.5) × 360
= 48
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(x − 1)2 = −4 How many distinct real solutions does the given equation have? A) Exactly one B) Exactly two C) Infinitely many D) Zero
Answer:
It's exactly one
Step-by-step explanation:
You can test:
Op1:
x = -1
==> -1-1 = -2 then -2x2 = -4 (This's right)
Op2:
x = 1
==> 1-1=0 (this's wrong)
So ==> Ans is A) Exactly one
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The given quadratic equation has exactly two solutions. Therefore, option B is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given quadratic equation is (x-1)²= -4.
Square root on both the sides we get
√(x-1)²=√(-4)
x-1=±2i
x=±2i+1
x=2i+1 and x=-2i+1
Therefore, option B is the correct answer.
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Which graph represents the solutions to this equation?
x2 + 8x = -20
A, B, C, or D?
(See pictures attached)
Answer:
Step-by-step explanation:
The answer is Graph B.
First the equation needs to be in standard form.
x² + 8x= -20
becomes y = x² + 8x + 20
The leading coefficient is positive - a positve one is in front of the x.
So the parabola opens upward.
solve for the x coordinate of the minimun by using the formula
x = -b/2a
x = -8/2(1) = - 8/2 = -4
substitute -4 into the original equation.
y = (-4)² + 8(-4) + 20
y = 16 + -32 + 20
y = -16 + 20
y = 4
so the minimun - or bottom of the parabola is (-4, 4)
Correct choice is graph B
Francesca wants to
convert 1 foot to centimeters. Use what you
know about customary units to explain how she
can do this.
One foot is equal to 12 inches in the customary system.
What is customary system ?The customary system is a system of measurement used primarily in the United States, and it includes units of measurement such as inches, feet, yards, miles, ounces, pounds, and gallons, among others. The system is also known as the English system or the U.S. customary system, and it is based on historical English units of measurement.One inch is equal to 2.54 centimeters in the metric system. Therefore, to convert 1 foot to centimeters, Francesca can multiply 12 (inches in a foot) by 2.54 (centimeters in an inch) to get 30.48 centimeters.
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Need help ASAP will give brainilest to the CORRECT ANSWER
Answer:
First Two Options
Step-by-step explanation:
Geometric number between 12 and 8.
Answer:
9.79
Step-by-step explanation:
12 × 8 and root of that is 9.7979589
Fred's dog has been putting on weight and the veterinarian is concerned. At the dog's most recent veterinarian appointment in September the dog weighed 45 pounds. This was a 25% increase since the dog's last veterinarian appointment that was in March. How much did Fred's dog weigh at the veterinarian appointment in March?
The weight of Fred's dog at the veterinarian appointment in March is 36 pounds.
How much did Fred's dog weigh at the veterinarian appointment in March?Fred's dog weight in September= 45 pounds
Percentage increase= 25%
Fred's dog weight in March = x
45 = x + (25% of x)
45 = x + 0.25x
45 = 1.25x
divide both sides by 1.25
x = 45/1.25
x = 36 pounds
Hence, Fred's dog weighs 36 pounds in March.
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Please help me with this math problem!! Will give brainliest!! :D 20 POINTS!!!
a) 100%
b) 19/50 or 38%
What are x and y i don't know
Answer:
Step-by-step explanation:
Perimeter of the rectangle= 42 cm
Length= x
Breadth= y
2(x+y)= 42
x+y= 42/2= 21 (Let it be the first equation)
Perimeter of the triangle= 36 cm
x+y+2y-3= 36 cm (Let it be the second equation)
Substitute equation 1 in 2.
x+y+2y-3= 36
⇒ 21+2y-3= 36
2y= 36-21+3
2y= 18
y= 18/2
y= 9
x+y= 21
x+9= 21
x= 21-9
x= 12
∴ the values of x and y are 12 and 9 respectively.
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 9 people took the trip. She was able to purchase coach tickets for $120 and first class tickets for $980. She used her total budget for airfare for the trip, which was $6240. How many first class tickets did she buy? How many coach tickets did she buy?
Let's call the number of first-class tickets Sarah purchased x. Then the number of coach tickets purchased is 9 - x.
The total cost of the first-class tickets was x * $980 and the total cost of the coach tickets was (9 - x) * $120.
The total budget for airfare was $6240, so we can set up the following equation:
x * $980 + (9 - x) * $120 = $6240
Solving for x, we get:
x = 5
So, Sarah purchased 5 first-class tickets and 9 - x = 4 coach tickets.
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Classify each statement about the function f(x)=2x3+8 as true or false.
The domain of the function is all real numbers.
The range of the function is (0, [infinity]).
The y-intercept is (0, 0).
The center of symmetry is (0, 8).
TRUE .The domain of the function is all real numbers.
FALSE , The range of the function is (0, [infinity]).
FALSE, The y-intercept is (0, 0).
FALSE , The center of symmetry is (0, 8).
True. The function f(x) = 2x^3 + 8 can take any real number as input and produce a real number as output.
False. The range of the function is all real numbers greater than or equal to 8, i.e., [8, [infinity]).
False. The y-intercept of the function is (0, 8), meaning that when x = 0, the output of the function is 8.
False. The function f(x) = 2x^3 + 8 does not have a center of symmetry, as it is an odd degree polynomial.
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in order to gauge student opinion on his grading procedures, the professor divides the class into two groups: undergraduate students and graduate students. he then takes random samples from each group. this is an example of
This is an example of stratified sampling.
How are samples classified?Samples may be classified as:
A convenient sample is drawn from a conveniently available pool of options.A random sample is equivalent to placing all options into a hat and taking some of them.In a systematic sample, every kth element of the sample is taken.Cluster sampling divides population into groups, called clusters, and each element of the group is surveyed.Stratified sampling also divides the population into groups. However, an equal proportion of each group is surveyed.For this problem, we have that the population was divided into groups, hence either cluster or stratified sampling was used.
As an equal proportion of each group was sampled instead of the entire group, stratified sampling was used.
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Emma wrote the expression 2(3w-6) to represent the amount of money that Juan spent. Is she correct? Explain
Yes, Emma is correct. The expression 2(3w-6) represents two times the difference of three times w and six. w can represent any amount of money, so this expression represents twice the amount of money that Juan spent.
2(3w-6) = 6w - 12
2(3w-6)
2 • (3w - 6)
2 • 3w - 2 • 6
6w - 12
The expression 2(3w-6) can be expanded by first multiplying the two together. This is done by multiplying the coefficient of 2 with each of the terms inside the parentheses. This results in 2 • 3w - 2 • 6. Next, the terms inside the parentheses can be combined. Since they are both being multiplied by 2, we can simply add the two terms together, resulting in 6w - 12. Thus, the expression 2(3w-6) can be expanded to 6w - 12.The expression 2(3w-6) represents two times the difference of three times w and six. w can represent any amount of money, so this expression represents twice the amount of money that Juan spent.
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Suppose you know that ∠S and ∠Y are complementary and that m∠S = 3(m∠Y) − 70°. Find m∠Y.
The value the angles Y is 40° if ∠S and ∠Y are complimentary, as stated in the previous sentence.
Do you mean complimentary or complimentary?Complement or "favorable" refers to "offering a compliment." In the context of goods or services offered as a favor, it can also signify "free." The term "complementary" means to emphasize or enhance the positive aspects of that other person or object.
Angles that add up to 90 degrees are said to have complementary angles.
As a consequence, the value of factor y will be determined using the information provided:
x + y = 90°
3y - 70° + y = 90°
Collect like terms
3y + y = 90° + 70°
4y = 160°
y = 160/4
y = 40°
Angle y has a value of 40°.
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find the domain of each expression 25/y-9
The domain of the equation A = 25/ ( y - 9 ) is y < 9 or y > 9 and the interval notation is ( -∝ , 9 ) ∪ ( 9 , ∝ )
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 25/ ( y - 9 ) be equation (1)
when y = 0 , the equation is undefined
So , the domain of the function will be y < 9 or y > 9 and the interval notation is ( -∝ , 9 ) ∪ ( 9 , ∝ )
Hence , the domain is ( -∝ , 9 ) ∪ ( 9 , ∝ )
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please help mybe easy????????????????????????????HELPPPP
Answer:
138
Step-by-step explanation:
720 - all the angles added up gives you the missing angle
Answer:
x = 138°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 6 , then
sum = 180° × (6 - 2) = 180° × 4 = 720°
sum the interior angles and equate to 720°
x + 85° + 135° + 125° + 85° + 152° = 720°
x + 582° = 720° ( subtract 582° from both sides )
x = 138°
A car's odometer shows 12138 kilometres at the start of a journey and 12714 kilometres at the end of the journey. How far was the journey?
Answer:
Step-by-step explanation:
To find the distance traveled, we need to subtract the starting odometer reading from the ending odometer reading.
In this case:
Journey distance = 12714 km - 12138 km = 576 km
So the journey was 576 kilometers.
4/7 of the girls the chicken nuggets,whereas 40% of the boys like the chicken nuggets.How many total students like chicken nuggets?What percents of the entire students body is this?
The percentage of students who like chicken nuggets is 97%, which is equivalent to 97 students.
How many students liked the chicken nuggets?To better understand this question, let's simplify some of the information given:
4/7 out of the girls liked the chicken nuggets = 0.57 or 57% of the girls
40% of the boys liked the chicken nuggets = 0.40
Based on this information, it can be concluded that 97% of students liked chicken nuggets. Moreover, if the population includes 100 students, this percentage will be equivalent to 97 students.
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Use the expression 32.6/10 - 5 x 8 - 9.16 to create an expression that has the value of 43. Make sure your expression includes parentheses. PLEASE ANSWER ASAP!!! THIS IS FOR HOMEWORK, IF U GET IT RIGHT I WILL MAKE U BRAINLIEST AND U WILL GET 30 POINTS!!!!!!!!!
The expression 32.6/10 - 5 x 8 - 9.16 + 88.9 has the value of 43.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Let's the expression to be found be "y".
An expression that, when evaluated, gives us a value of 43 is required.
Start by manipulating the given expression to isolate the value of "y".
Use the order of operations (PEMDAS) to simplify the expression -
32.6/10 - 5 × 8 - 9.16
3.26 - 40 - 9.16 (since 5 × 8 = 40)
-45.9
So the value of the given expression is -45.9.
To make the expression equal to 43, add a constant term to it -
y = 32.6/10 - 5 × 8 - 9.16 + 88.9
Evaluate this expression -
y = 3.26 - 40 - 9.16 + 88.9
= 43
Therefore, the expression obtained is 32.6/10 - 5 x 8 - 9.16 + 88.9.
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There are 750 calories in ten ounces of a certain ice cream. How many calories are there in three pounds?
1 pound = 16 ounces
How many ounces will you need to find the number of calories for?
There are 2880 calories in three pounds of the ice cream.
There are 750 calories in ten ounces of a certain ice cream.
Total calories=750
Number of ounces given=10
Ten ounces=750 calories1 ounce=75 caloriesFirst, we need to convert three pounds to ounces:
Since there are exactly 16 ounces in one pound, just multiply the number of pounds by 16 to make the conversion. Then answer will be in ounces.⇒1 pound=16 ounces
⇒3 pounds = 3 * 16 ounces = 48 ounces
So, we need to find the number of calories in 48 ounces of the ice cream.
Since there are 750 calories in ten ounces, then there will be
⇒[tex]750*\frac{48}{100}[/tex]750 = 2880 calories in 48 ounces.
Therefore, there are 2880 calories in three pounds of the ice cream.
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one fair die has faces 1, 1, 2, 2, 3, 3 and another has faces 4, 4, 5, 5, 6, 6. the dice are rolled and the numbers on the top faces are added. what is the probability that the sum will be odd?
The probability that the sum of the two dice will be odd is 2/3.
The probability of getting an odd number from the sum of two fair dice can be calculated as follows:
If both dice show an odd number (1 or 3), the sum will be even.
If both dice show an even number (2 or 4), the sum will be even.
If one die shows an odd number and the other an even number, the sum will be odd.
Since each die has a 1/3 chance of showing an odd number and a 2/3 chance of showing an even number, the probability of getting an odd number is 2/3 * 1/3 + 1/3 * 2/3 = 2/3.
Therefore, the probability that the sum of the two dice will be odd is 2/3.
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find the area of a triangle with height 6 1/2cm and base 3 1/4cm
Answer:
10,5625
Step-by-step explanation:
S (triangle) = 1/2 * a * h
a= 3 1/4 = 3.25
h = 6 1/2= 6.5
=> S= 10,5625
Keenan paid $25 for his cell
phone bill in January. If each
month's bill increases by 5%.
what is the total he will
pay that year?
Answer:
1.25
Step-by-step explanation:
To get your answer first multiply the $25 by 5% then you will get 1.25 as your answer.
Answer:
Step-by-step explanation:
It can be modeled by the equation:
y = x + 0.05x
So, Keenan pays about $398.02
Juan wants to buy a guitar. The regular price of the guitar is $329.99. The sales price of the guitar is 25% off of the regular price. Juan most Pat 7.25% sales tax in addition to the sales price of the guitar. What is the total amount Juan must pay for the guitar?
The supplied document states that Juan must pay $265.32 in total for the instrument.
By sales, what do you mean?Any transaction in which goods or services are exchanged for cash is referred to as a sale. In other words, a transaction is any activity that involves transferring ownership of a good or service to the buyer in exchange for cash.
The instrument costs $329.99 at standard pricing.
$329 * 25% = $82.50
The guitar's discount price is thus $329.99 less $82.50, or $247.49.
7.25% of the purchase price is used to compute sales tax.
Therefore, $247.49 * 7.25% = $17.83
As a result, we eventually tack on the taxation to the purchase price to determine Juan's final obligation to pay for the guitar.
$247.49 + $17.83 = $265.32
The total price that Juan shall pay for something like the guitar is thus $265.32.
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Find an equation for the line that passes through the points (-2, 1) and (4, 3)
Answer: y=x/3 + 5/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
To find the equation of the line that passes through the points (-2, 1) and (4, 3), we can use the point-slope form of a line.
Point-slope form of a line: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.
Step 1: Find the slope:
We can use the two points to find the slope:
m = (y2 - y1) / (x2 - x1) = (3 - 1) / (4 - (-2)) = 2
Step 2: Use the point-slope form:
y - 1 = 2(x - (-2))
y - 1 = 2x + 4
y = 2x + 5
The equation of the line that passes through the points (-2, 1) and (4, 3) is y = 2x + 5. This is the standard form of the line.
A dog trainer compared mean numbers of lessons for two
groups of dogs to learn a new trick.
Answer ASAP will give brainliest
A true statement on the mean number of lessons for the dogs is The mean number of lessons for group A is greater than the mean for group B by 1 MAD.
How to prove the mean number ?The difference in the mean number of lessons between the two groups being Group A and Group B is :
= Mean number of lessons Group A - Mean number of lessons Group B
= 5 - 3
= 2
The mean absolute deviation for Group B is 2. The mean number of lessons of group A related to this is :
= 2 / 2
= 1
This shows that the mean number of lessons for group A is greater than the mean for group B by 1 MAD.
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The full question is:
Mean number of lessons Mean Absolute Deviation (MAD)
Group A 5
Group B 3
2
2
Which statement about the data is true?
A. The mean number of lessons for group A is greater than the mean for group B by 1 MAD
B. The mean number of lessons for group A is greater than the mean for group B by 2 MAD
C. The MAD for group A is more than the MAD for group B
D. On average, the dogs in group B required more lessons than the dogs in group A