Answer:
$370,881
Step-by-step explanation:
firstly we we multiply 1,5% by 2yrs. the answer we get is 3,0%. we then multiply 3 % by $123,627 and get $370,881
If Lisa bought a house The value of the house increased by 1.5% each year for 2 years. The value of the house was £123,627. The initial amount of the house is 95120.7.
What is Percentage?Percentage, a relative value indicating hundredth parts of any quantity.
Given,
Lisa bought a house The value of the house increased by 1.5% each year for 2 years
By the end of 2 years, the value of the house was £123,627.
A=P(1+rt)
A is the final amount,
r is rate of interest
t is the time
P is principle amount.
123,627=P(1+1.5/100 (2))
123657=P(1+0.15(2))
123657=P(1+0.3)
123657=1.3P
Divide both sides by 1.3
P=95120.7
The initial amount of the house when Lisa bought is 95120.7
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if cars A and B are traveling at the speed of 55km/hr and 75km/hr respectively. What is their average speed?
Answer:
65 km/hr
Step-by-step explanation:
The average of numbers can be calculated by adding them up and dividing that by how many numbers there are.
Here, we have two numbers. Therefore, we first add them (55+75 = 130) and then divide by 2 because there are 2 numbers, so 130/2 = 65
Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Answer:
her salary will increase by $ 145 for every week
Step-by-step explanation:
x=1st paycheck (integer).
weekly raise = $ 145.
After completing the 1st week she will get $ (x+145).
Similarly after completing the 2nd week she will get
$ (x + 145) + $ 145.
= $ (x + 145 + 145)
= $ (x + 290)
So in this way end of every week her salary will increase by $ 145.
Will give brainliest answer
Answer:
Below.
Step-by-step explanation:
log 10 ( 100 ) = 2
Answer:
First one: log_10 (100) = 2 OR log (100) = 2
Second one: 5^-3 = 1/125
Step-by-step explanation:
Let's say the formula for a basic exponent equation is this:
a = b^x
a is the answer when you calculate b^x
b is the base
x is the exponent
Here's the log formula using those variables:
log_b (a) = x
As long as you know how to rearrange the numbers/variables, you are good to go:
100 = 10^2
a = 100
b = 10
x = 2
log_10 (100) = 2
You can also write this one as log (100) = 2 because when you put log by itself, it's assumed that the base thing already equals 10.
log_5 (1/125) = -3
a = 1/125
b = 5
x = -3
5^-3 = 1/125
Hope it helps (●'◡'●)
find the are of a polygon.
Answer: 54 SQUARE UNITS ITHINK!!
Step-by-step explanation:
A decorative wall in a garden is to be build using bricks that are 3 3/4 inches thick and mortar joints that are 1/4 inch. Use the diagram to find the height of the wall
Step-by-step explanation:
we cannot see the diagram, so we don't know how many layers of bricks are used. and therefore it is impossible to tell the height of the wall.
what is the simplified form of the following expression 3 sqrt 4x/5
Answer:
Kindly check the attached picture
Step-by-step explanation:
The solution to the problem has been explicitly solved in the picture attached below :
We need to find a number that makes the denominator a perfect cube in other to simplify the expression which is 25/25.
Kindly check the attached picture for detailed explanation
what are the zeroes of f(x)=(x-7)(x+8)
Answer:
The zeroes of f(x) = (x-7)(x+8) are 7 and -8.
Step-by-step explanation:
You have to figure out what makes each of the equal to zero.
Step 1 : Make the 2 equations both equal 0.
x-7 = 0
x+8 = 0
Step 2: Solve for x
x-7 = 0
x=7
x+8 = 0
x=-8
So 7 and -8 are both zeroes of this function.
Please help plz plz plz plz help me i have been struggling in this class
Answer:
1. Tyler
2. 8.33
3. 8.5
4. Tyler
Step-by-step explanation:
this is just playing with the numbers. no complex math concepts.
Tyler's graph shows she reached 1 mile after 8 1/3 minutes (8 minutes and 20 seconds). that is 25/3 minutes.
according to Elena's equation she reached 1 mile (x=1) after 8.5 minutes. that is 8 1/2 minutes or 8 minutes and 30 seconds.
so, we see that Elena took more time (10 seconds longer) to run 1 mile, so Tyler was faster.
to generally compare the 2 we can write also Tyler's graph as function (like for Elena) :
8 1/3 = 8.333333....
y = 8.33x
but that is just FYI (not asked for here).
since Tyler was faster (and her graph also showed a straight line of time and distance up to 10 minutes and beyond, so, she did not slow down after the first mile), she also ran further after 10 minutes. that is the definition of "being faster" - to go further in the same amount of time.
Tyler needed 8.33 minutes per mile.
Elena needed 8.5 minutes per mile.
and so, Tyler was faster.
points 1 and 4 are directly coupled. they both express the same thing.
HELP PLEASE!!!!!!!!!!!!!!!
Explanation:
The coefficients -24 and 8 divide to -24/8 = -3. Based on this alone, the answer is between choices B and C.
The m terms divide to [tex]\frac{m^5}{m^{-7}} = m^{5-(-7)} = m^{5+7} = m^{12}[/tex]
Notice how I subtracted the exponents. The general rule is [tex]\frac{a^b}{a^{c}} = a^{b-c}[/tex]
Since we get m^12, this points us to choice C as the final answer
For the sake of completeness, here's what the n terms divide to
[tex]\frac{n^4}{n^{-2}} = n^{4-(-2)} = n^{4+2} = n^{6}[/tex]
A recent national study about the effectiveness of Echinacea in cold treatments for adults was performed by a medical school in Kansas City. The results stated that 22.5% of the randomly chosen 250 adult subjects in the placebo group in the study noted that their treatment appeared to shorten the length of their colds. In an attempt to determine the average high school GPA of all students enrolled at a Regents University in Kansas, a researcher first randomly selects one of the six Regents Universities, then selects a random sample of 50 students from that University from which to gather data. The descriptive statistic of interest in this study is
Answer:
The average high school GPA of all students enrolled at a Regents University in Kansas
Step-by-step explanation:
Descriptive statistics refers to aspect of statistics which is employed when summarizing data. Descriptive statistics often use measure of center such as, mean, median and mode to give consider summary of both sample and population data. Measures of spread such as standard deviation and variance and so on also form part of descriptive statistics used for data summarization.
In the scenario described above, the descriptive statistic which the study intends to infer is the average or mean high school GPA of all students enrolled at a Regents University in Kansas. This mean value will be a single value which describes the GPA of all high school students.
to have batting average over 0.500. how many hits in 45 times at bat would raul or karen need?
can someone help me solve this?
Answer:
[tex]\sqrt{x} -\frac{16}{\sqrt{x} }[/tex]
Step-by-step explanation:
If P(x,y) is the point on the unit circle determined by real number e, then tane
=
A.1/x
B.1/y
c.x/y
D. Y/x
Answer:
y/x
Step-by-step explanation:
Since x=cos(e) and y=sin(e) and tan(e)=sin(e)/cos(e), then tan(e)=y/x.
the amount of mil available per child in a day care centrr is given by the function m(x) =25/x, where x is the number of children and m is the quantity of available milk in liters. if 50 children are present on a day how much milk is available per child
Answer:
0.5 liters of milk are available per child.
Step-by-step explanation:
Amount of milk available per children:
The amount of milk, in liters, available for x children is given by:
[tex]m(x) = \frac{25}{x}[/tex]
50 children are present on a day
This means that [tex]x = 50[/tex]
How much milk is available per child?
This is m(50). So
[tex]m(50) = \frac{25}{50} = 0.5[/tex]
0.5 liters of milk are available per child.
A river is 212 mile long. What is the length of the river on a map, if the scale is 1 inch : 50 miles?
Answer:
4.24 inches
Step-by-step explanation:
1 inch / 50 miles = x / 212 miles Cross multiply
1 inch * 212 miles = 50 miles * x Divide by 50 miles
1 inch * 212 miles / 50 miles = x
x = 4.24 inches.
How much is 0.24 of an inch?
0.24 * 50 = 12
So 0.24 inches represents 12 miles.
The sum of two numbers is 8 and their difference is half of the sum. Find the
two numbers.
Answer:
6 and 2
Step-by-step explanation:
6+2= 8, so they can combine to equal 8. First box checked. Then, they can also be subtracted to get 4, half of 8. 8/2= 4 and 6-2=4. Second box checked.
Hope this helped :D
Step-by-step explanation:
Let's take the numbers as m and n and classify the info
m+n=8
m-n=4
So solving the sums Simultaneously you can get
2n=4
n=2
Substituting this value gives
2+m=8
m=6
Inorder to check if your answers are valid add them to the equations
6+2=8✅
6-2=4✅
Therefore the answers are valid
The Power in a circuit is given by the formula P=I^{2}R, where I is the Current and R is the Resistance. If the Resistance is always constant at 500, the Current is 1, and dI/dt = -0.5, then dP/dt = -500.
True or false and please show work. Thank you
True
Step-by-step explanation:
[tex]P(t) = I^2(t)R[/tex]
Taking the derivative of P(t) with respect to time,
[tex]\dfrac{dP(t)}{dt} = 2I(t)\dfrac{dI(t)}{dt}R[/tex]
[tex]\:\:\:\:\:\:\:\:= 2(1)(-0.5)(500) = -500[/tex]
Suppose you invest a certain amount of money in account that earns 3% annual interest. You also invest that same amount + $2000 that earns 4% annual interest. If the total interest from both accounts at the end of the year is $535, how much has been invested in each account?
help me plsssssssss:(
Answer:
1: $1200
2: Food ($6000)
3: $3000
4: $1800
5: $3000
Step-by-step explanation:
1: 10%*12000 = 1200
2: Food 50%*12000 = 6000
3: 25%*12000 = 3000
4: 15%*12000 = 1800
5: Food - Education = 6000 - 3000 = 3000
1/3=?/24
Which number is missing to make the equation true?
Answer:
8
Step-by-step explanation:
For each of the following, assume that the two samples are obtained from populations with the same mean, and calculate how much difference should be expected, on average, between the two sample means. Each sample has n =4 scores with s^2 = 68 for the first sample and s^2 = 76 for the second. (Note: Because the two samples are the same size, the pooled variance is equal to the average of the two sample variances).
a) 4.24.
b) 0.24.
c) 8.48.
d) 6.00.
Next, each sample has n=16 scores with s^2 = 68 for the first sample and s^2 = 76 for the second.
a) 0.12.
b) 2.12.
c) 4.24.
d) 3.00.
Answer:
d)6.00
d)3.00
Step-by-step explanation:
We are given that
n=4 scores
[tex]S^2_1=68[/tex]
[tex]S^2_2=76[/tex]
We have to find the difference should be expected, on average, between the two sample means.
[tex]S_{M_1-M_2}=\sqrt{\frac{S^2_1}{n_1}+\frac{S^2_2}{n_2}}[/tex]
[tex]n_1=n_2=4[/tex]
Using the formula
[tex]S_{M_1-M_2}=\sqrt{\frac{68}{4}+\frac{76}{4}}[/tex]
[tex]S_{M_1-M_2}=\sqrt{\frac{68+76}{4}}[/tex]
[tex]S_{M_1-M_2}=\sqrt{36}=6[/tex]
Option d is correct.
Now, replace n by 16
[tex]n_1=n_2=16[/tex]
[tex]S_{M_1-M_2}=\sqrt{\frac{68}{16}+\frac{76}{16}}[/tex]
[tex]S_{M_1-M_2}=\sqrt{\frac{68+76}{16}}[/tex]
[tex]S_{M_1-M_2}=\sqrt{9}=3[/tex]
Option d is correct.
30 students in grade 8 finished their summer packet before August 15.
This was 12% of all the students. How many students are in grade 8?
There are 1,200 people at the beach. If 88% of them went in the water,
how many people DID NOT go in the water?
A $800 T.V. is on sale for 15% off. What is the cost of the T.V.?
You go out to dinner and the bill is $45.12. You want to leave
an 18% tip. How much money should you leave?
Answer:
1)250 2) 144 3)
Step-by-step explanation:
1) 12/100 = 30/x 2) 1200*0.88
12x=3000 1200-1056
x=250 144
3)800*0.15 4) 45.12*0.18
800-120 45.12+8.12
680 about 53.24
the compound interest of the rate of 5 percent on an amount of 4000$ at the end of 2 years
Answer:
hope you find it useful and helpful
Gil wants to have $9,500 in 7 years. Use the present value formula to calculate how much he should invest now at 2% interest, compounded semiannually in order to reach his goal.
Answer:
9500 × 1.02^7
Step-by-step explanation:
9500 × 1.02^7
Calculate that
Which operation must you use to find the water temperature after the submarine’s final dive? Which word or words in the problem signify this operation?
Answer:
the temperature drops 2 degrees F
Step-by-step explanation:
Answer:
The problem states that the temperature drops 2 degrees F. The word drops signifies that I should subtract 2 1/5 degrees F from 63 1/4 F.
Step-by-step explanation:
3x=4(c-d)/d make d the subject
Answer:
[tex]d = \frac{4c}{3x + 4} [/tex]
Step-by-step explanation:
[tex]3x = \frac{4(c - d)}{d} [/tex]
Multiply both sides by d:
[tex]3xd = 4(c - d)[/tex]
Expand:
[tex]3xd = 4c \: - 4d[/tex]
+4d on both sides:
[tex]3xd + 4d = 4c[/tex]
Factorise d out of the left-hand side:
[tex]d(3x + 4) = 4c[/tex]
Divide both sides by (3x +4):
[tex]d = \frac{4c}{3x + 4} [/tex]
Consider vectors u and v, where u=(1,-1) and v=(1,1). What is the measure of the angle between the vectors? 0° 60° 90° 180°
Answer:
HEY THERE!
Step-by-step explanation:
the correct answer for your question is 90°
Answer:
The answer is c :)
Step-by-step explanation:
90 degrees
Heeeelp me pleaseeee
Answer:
sorry but the pic is too blurr
Step-by-step explanation:
if u could fix the blurr so I can answer properly
Please help me on this
Answer:
58.8 in²
Step-by-step explanation:
you have no calculator ?
since you clearly have a computer or smart phone - there are calculator apps on all of them.
you really just need to use the given numbers and multiply and add them following the formula. so, what is your problem ?
anyway,
2pi×r×h + 2pi×r²
h = 5.9
r = 1.3
2pi × 1.3 × 5.9 + 2pi × 1.3² = 2pi × 7.67 + 2pi × 1.69 =
= 58.8 in²
If 2(x + 3) - 27 = 3[7 - 2(x + 19)], what is 2x - 5?
Answer:
D = -23
Step-by-step explanation:
Answer:
D) -23
Step-by-step explanation:
Definitely