A person invests 3000 dollars in a bank. The bank pays 6.75% interest compounded
semi-annually. To the nearest tenth of a year, how long must the person leave the
money in the bank until it reaches 6700 dollars?
Answer:
12.1 years
Step-by-step explanation:
We are given that
Principal amount, P=$3000
Rate of interest, r=6.75% semi-annually
Amount, A=$6700
We know that
When r pays semi-annually
[tex]A=P(1+\frac{r}{n\times 100})^{nt}[/tex]
Where n=2
Using the formula
[tex]6700=3000(1+\frac{6.75}{200})^{2t}[/tex]
[tex]\frac{6700}{3000}=(1..03375)^{2t}[/tex]
[tex]2.233=(1.03375)^{2t}[/tex]
Taking ln on both sides we get
[tex]ln(2.233)=2t ln(1.03375)[/tex]
[tex]2t=\frac{ln(2.233)}{ln(1.03375)}[/tex]
[tex]t=\frac{1}{2}\times \frac{ln(2.233)}{ln(1.03375)}[/tex]
[tex]t=12.1 years[/tex]
Calculate the pay for the following day of a weekly time card given a wage of $14/hr
Monday In 0800 Out 1200 In 12:45 Out 17:30
Answer: $122.50
Step-by-step explanation:
We know the difference between the time the employee clocked in and clocked out = 1200 - 0800 = 4 hours
The next clock in and out = 17:30 - 12:45 = 4 hours, 45 minutes.
These times combined = 8 hours, 45 minutes
[tex]\frac{45}{60}[/tex] minutes in an hour = [tex]\frac{3}{4}[/tex] of an hour.
The total time worked was 8 [tex]\frac{3}{4}[/tex] hours.
Multiply 8.75 × $14 = $122.50
I am not a professional, simply using prior knowledge.
Note- it would mean the world to me if you could mark me brainliest!
Previous balance: $1,221.35; payment: $300; new purchases: $25.90 and$18.53; periodic rate: 1.75%
Answer:
1478.67
Step-by-step explanation:
Is 3.5 and 3.55 a equivalent decimal?
6. Cindy and Sam are 24 miles apart on a path when they start moving
toward each other. Cindy runs at a constant speed of 10 miles per
hour, and Sam walks at a constant speed of 6 miles per hour.
How long does it take until Cindy and Sam meet?
Answer:
2 hours to meet each other
Step-by-step explanation:
Answer:
1.5
Step by step explanation:
Write a division equation to show a 26-pack of candy bars divided equally among 7 people. How many candy bars will each person have?Express the answer as a mixed number.
Answer: Each person will get 3 candy bars
Step-by-step explanation:
The equation would be 26/7. Then, 7 goes into 26 three times with a remainder of 5.
[tex]3\frac{5}{7}[/tex]
Answer:
The equation would be 26/7. Then, 7 goes into 26 three times with a remainder of 5.
Step-by-step explanation:
The equation would be 26/7. Then, 7 goes into 26 three times with a remainder of 5.
13) Find the values of x and y.
Answer:
x = 64°
y = 71°
Step-by-step explanation:
✔️x = 180 - 2(58) (isosceles triangle)
x = 180 - 116
x = 64°
✔️y + 45° + x = 180° (angles on a straight line)
y + 45° + 64° = 180° (substitution)
y + 109 = 180°
y = 180° - 109°
y = 71°
Write an expression equivalent to the one below
-2m-8+4(3m-9)
Answer:
Step-by-step explanation:
Distribute the 4 into the parentheses.
[tex]-2m-8+12m-36[/tex]
Combine like terms
[tex]10m-44[/tex]
Answer:
10m - 44
Step-by-step explanation:
Apply the distributed property: 12m - 36Re-write expression: -2m - 8 + 12m - 36-2m + 12m = 10m8 + 36 = 44Put them together: 10m - 44I hope this helps!
which point on the scatter plot represents the outlier ?
Answer:
The point that represents the outlier is “B”
Step-by-step explanation:
I know it because I just did it and got it right. Hope it helps!
Answer:
B
Step-by-step explanation:
I know because i got it correct
Please help geomtry!
Answer:
13
Step-by-step explanation:
By angle bisector property:
[tex] \frac{28}{49} = \frac{12}{2x + 7 - 12} \\ \\ \frac{4}{7} = \frac{12}{2x - 5} \\ \\ 4(2x - 5) = 12 \times 7 \\ \\ 8x - 20 = 84 \\ \\ 8x = 84 + 20 \\ \\ 8x = 104 \\ \\ x = \frac{104}{8} \\ \\ x = 13[/tex]
es 12.5 the intercepts and domain, and perform the symmetry test on each of the following ellipses: 6x2 + 25y2 = 400 2 + 472 = 4 2+ y2 = 64 2 + 4y2 = 36 (b) 25x2 + 16y2 = 400 (d) 4x2 + y2 = 4 (f) x2 + 4y2 = 36 (h) 7x2 + 8y2 = 112 ? vertices, foci, endpoints of the minor axis, and endpoints of the latera resta: then draw for each equation in problem 1,
Answer:
the question is cutoff. please rewrite the question. please write exponents as 6x^2.
Halla el FCM de 44 y 88 usando factorización prima.
If there are two yellow pencils and three blue pencils in a box, what is the
probability that a blindfolded person would pick a blue pencil?
Answer:
there is a 60% chance they pick a blue pencil
Cirrus clouds form more than 6,000 meters above earth. Write an inequality to represent h, the height in meters, of cirrus clouds.
(Remember, you need to hold Shift to get the inequality symbols on your keyboard.)
If you did not read carefully, you must use h as the variable in your inequality, or it will be marked incorrect. Plssss help!! 20 points1!!!
Answer:
no lo se no se mucho de ingles
Step-by-step explanation:
lo siento
Classify the following triangle. Check all that apply.
7
9
11.4
A. obtuse
B. scalene
C. right
D. isosceles
E. acute
F equilateral
Answer:
E. Acute
Step-by-step explanation:
Hope it helps
Help with my question please
Answer:
d
Step-by-step explanation:
Suppose $5000 is invested at 5.25% annual interest, compounded continually.
What will be the
amount in the account in 7 years if no money is withdrawn?
$2609.00
$7220.60
$5000.00
$5269.51
Answer:
I am sure that it is $7220.60
Step-by-step explanation:
If you invested in 5000 you would have that much in your account to withdraw
hope this works for you
A tree casts a 16-foot-long shadow on level ground. A forestry student uses a clinometer to determine that the sun is at a 70° angle of elevation.
What is the height of the tree to the nearest whole foot?
Use the on-screen keyboard to enter the number in the box below.
Answer:
Tree is [tex]43.84[/tex] feet tall
Step-by-step explanation:
Shadow casted by tree [tex]= 15[/tex] feet
Angle of elevation of sun [tex]= 70[/tex] degrees
Tangent of angle of elevation is equal to the ration of height of tree and its shadow
tan [tex]70 = \frac{t}{16}[/tex]
Height of the tree is equal to [tex]16 *[/tex] tan [tex]70[/tex]
Height of the tree [tex]= 16 * 2.74 = 43.84[/tex] feet
Write formulas for the following mathematical statement.
The difference between the selling price and cost price is profit.
(1 Point)
profit=S.P-C.P
profit=S.P+C.P
profit=C.P-S.P
profit=C.P+S.P
Answer:
[tex]Profit = SP - CP[/tex]
Step-by-step explanation:
Given
[tex]S.P = Selling\ Price[/tex]
[tex]C.P = Cost\ Price[/tex]
Required
Represent the profit, mathematically
The profit is the difference between SP and CP.
This is represented as:
[tex]Profit = SP - CP[/tex]
A)180.48 m2
B)180.48 m
C)80.48 m2
D)80.48 m
Answer:
80.48m2
Step-by-step explanation:
I think this is right but it may be wrong.
Solve the right triangle round your answer to the nearest tenth
Answer/Step-by-step explanation:
✔️A = 180° - (50° + 90°) (sum of triangle)
A = 40°
✔️Find a:
Reference angle = 50°
Opposite = 17
Adjacent = a
Therefore, using trigonometric ratio, we have the following:
Tan 50 = 17/a
a = 17/tan 50
a = 14.3 (nearest tenth)
✔️Find c using Pythagorean Theorem:
c² = a² + b²
c² = 14.3² + 17²
c = √493.49
c = 22.2 (nearest tenth)
-6x+2y=-14.
-9x+3y=-21
Answer:
-no solution-
Step-by-step explanation:
Let's solve your system by elimination.
−6x+2y=−14;−9x+3y=−21
Multiply the first equation by 3,and multiply the second equation by -2.
3(−6x+2y=−14)
−2(−9x+3y=−21)
Becomes:
−18x+6y=−42
18x−6y=42
Add these equations to eliminate y:
0=0
Answer:
Infinitely many solutions.
Let's solve your system by substitution.
−6x+2y=−14;−9x+3y=−21
Step: Solve−6x+2y=−14for x:
−6x+2y=−14
−6x+2y+−2y=−14+−2y(Add -2y to both sides)
−6x=−2y−14
−6x
−6
=
−2y−14
−6
(Divide both sides by -6)
x=
1
3
y+
7
3
Step: Substitute
1
3
y+
7
3
forxin−9x+3y=−21:
−9x+3y=−21
−9(
1
3
y+
7
3
)+3y=−21
−21=−21(Simplify both sides of the equation)
−21+21=−21+21(Add 21 to both sides)
0=0
Answer:
Infinitely many solutions.
If you divide first equation by two and the second by three they are both the same line so there are infinitely many solutions.
You spend 8 hours each weekday at school.
a. Write the portion of a weekday spent at school as a fraction, a decimal, and a percent.
how do I convert it also???
Answer:
8/24 (eight hours at school out of 24 hours of the day)
0.33 (divide 8 by 24)
33.33% (move the decimal to the right twice.)
I hope that makes sense. If you need more explanation please just comment on this and i will edit it to add what you need. Or i will just comment back. It depends.
The portion of the weekday spent at school as a fraction, a decimal and a percent can be represented as 1/3 or 0.333 or 33.3% respectively.
What are Fractions?Fractions are type of numbers which are written in the form p/q, which implies that p parts in a whole of q.
Here p, called the numerator and q, called the denominator, are real numbers.
Given that,
You spend 8 hours each weekday at school.
Total hours in a day = 24 hours
Fraction of the hours spent = 8/24 = 1/3
Decimal of the hours spent = 0.333
Percent of the hours spent = 0.333 × 100 = 33.3%
Hence the portion of a weekday spent at school is 1/3.
Learn more about Fractions here :
https://brainly.com/question/12715980
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There are 10 years in 1 decade. Deron is 2 decades, 4 years, and 8 months old. His brother John is half as old. How old is John?
Answer:
John is 1 decade, 2 years, and 4 months old
Step-by-step explanation:
Since we knot that John is half as old we just have to divide Derons age by two, and we will do that by dividing the number of decades, a number of years, and a number of months by two, and so we get that John is...
(2/2) decades, (4/2) years, and (8/2) months old =
= 1 decades, 2 years, and 4 months old
John is 1 decades, 2 years, and 4 months years old.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
There are 10 years in 1 decade.
And, Deron is 2 decades, 4 years, and 8 months old.
Since, His brother John is half as old.
Hence, Age of John is,
⇒ (2 decades, 4 years, and 8 months) / 2
⇒ 1 decades, 2 years, and 4 months
Thus, John is 1 decades, 2 years, and 4 months years old.
Learn more about the divide visit:
https://brainly.com/question/28119824
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Trayvion measured his basketball rim. The radius of the rim is \large 7\frac{1}{2} inches. What is the circumference of the rim?
a
176.6 inches
b
47.10 inches
c
23.55 inches
d
6.5 inches
Answer:
(b) 47.10 inch.
Step-by-step explanation:
C = 2πr
C ≈ 2 × 3.14 × 7.5 = 47.1 inches
Geometry help please
Answer:
the pink triangle is the answer, just know that each 90° will be the next quadrant.
A standard fair dice is rolled twice.
What is the probability of getting an even number on the first roll and any prime number on the other?
If an object goes from 50 mph to 30 mph in 5 seconds, what is its acceleration?
WILL MARK BRAINLIEST!
Answer:
-4 mph/sec
Step-by-step explanation:
Answer: -4 mph/s
Step-by-step explanation:
Remember the formula:
FinalVelocity = InitialVelocity + (acceleration)(time)
50 = 30 + (a)(5)
a = (30 - 50)/5
a = -4 mph/s
The room number of the a computer lab is a perfect
square. It is not even, but it is a multiple of 3. The
room number is either 25, 27, 36, or 81. Which one is
it?
Answer:
81
Step-by-step explanation:
25 and 27 are not perfect squares so they can not be the answer.
36 and 81 are both multiples of 3, but only 81 is not even, so the answer is 81
Amani is trying to find the value of the 4th coefficient in the 10th row of Pascal's Triangle. Which of the following could be the binomial that Amani is trying to expand?
Answer:
Step-by-step explanation:
all of the numbers in the nth row are coefficients in the expansion of (a+b)^n
Answer:
(2x+3)10!
Step-by-step explanation: