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sashaice [31]
3 years ago
15

An investment of P=1237.50 is compounded annually with a 6.75% APR . Find the value of the investment after 5 and a half years.

Mathematics
2 answers:
Ber [7]3 years ago
5 0

Answer:

Under compound interest, not only does the principal generate interest, so does the previous accumulated interest. The future value F of P dollars compounded annually for t years with an annual percentage rate (APR) r expressed as a decimal is .

katen-ka-za [31]3 years ago
3 0

Answer:

  • 1772.43

Step-by-step explanation:

<u>Given:</u>

  • Principal P = 1237.50
  • Interest rate r = 6.75% or 0.0675
  • Number of compounds n = 1
  • Time t = 5.5 years

<u>Find the total:</u>

  • A = P(1 + r/n)^{nt}
  • A = 1237.5*(1+0.0675)^{5.5} = 1772.43
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What is the standard form equation of the line shown below? (1 point)
kaheart [24]

Answer:

Choice 1.  -3x + 2y = 5.

Step-by-step explanation:

The slope of the line = y2-y1/x2-x1

= (4 - 1) / (1 - (-1))

= 3/2.

To find the equation of the line we use the point-slope form of the equation of a line:

y - y1 = m(x - x1)  where m = slope and (x1, y1) is a point on the line. So using m = 3/2 and the point (1, 4):

y - 4 = 3/2(x - 1)

y - 4 = 3/2 x - 3/2

Multiply through by 2:

2y - 8 = 3x - 3

-3x + 2y = -3 + 8

-3x + 2y = 5 (answer).


6 0
4 years ago
An equation is shown below: 1 over 2 multiplied by x plus 3 over 2 equals 2 to the power of x What is the solution to the equati
Alborosie

Answer:

First option is correct. The solution of the equation is x=1.

Step-by-step explanation:

The given equation is

\frac{1}{2}x+\frac{3}{2}=2^x

The value of x, which satisfy the above equation is the solution of the given equation.

Put x=1 in the given equation.

\frac{1}{2}(1)+\frac{3}{2}=2^{1}

\frac{1+3}{2}=2

\frac{4}{2}=2

2=2

Since left hand side is equal to right side, therefore first option is correct.

Put x=2 in the given equation.

\frac{1}{2}(2)+\frac{3}{2}=2^{2}

\frac{2+3}{2}=4

\frac{5}{2}=4

Since left hand side is not equal to right side, therefore second option is correct.

Put x=4 in the given equation.

\frac{1}{2}(4)+\frac{3}{2}=2^{4}

\frac{4+3}{2}=16

\frac{7}{2}=16

Since left hand side is not equal to right side, therefore third option is correct.

Put x=8 in the given equation.

\frac{1}{2}(8)+\frac{3}{2}=2^{8}

\frac{8+3}{2}=256

\frac{11}{2}=256

Since left hand side is not equal to right side, therefore fourth option is correct.

3 0
4 years ago
Read 2 more answers
What is the probability of spinning the spinner above and it not landing on the number zero?
Travka [436]

Answer:

3/4=75%

Step-by-step explanation:

There are 4 sections of the spinner. Any of the 4 could occur. 0 is one part of the 4 making it one fourth. Everything that's not 0 is 3 parts of the spinner meaning it has a probability of 3/4=75%

7 0
4 years ago
Simplify ((–3)^2)^3 <br><br><br> A. (–3)^6 <br> B. (3)^6 <br> C. (3)^5 <br> D. (–3)^5
makkiz [27]

Answer:

A and B

Step-by-step explanation:

using the law of exponents

• (a^m)^{n} = a^{mn}, hence

((-3)^2)^{3} = (-3)^{6} → A

note that (- 3)² = 9 = 3², hence

(-3)^2)^{3} = (3²)³ = (3)^{6} → B




5 0
3 years ago
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It is -40°F on a cold night in the North Pole. When the sun is out the next day, it is -5°F. What is the difference in temperatu
Alexeev081 [22]

Answer:

-35°F

Step-by-step explanation:

-40 - -5 equals -35°F

8 0
3 years ago
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