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3 years ago

I need this immediately

Mathematics

1 answer:

jeyben [28]3 years ago

6 0

The answer is 45.6 u need to find out the base and length and there u go

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For the following amount at the given interest rate compounded continuously, find (a) the future value after 9 years, (b) the

Stella [2.4K]

Answer:

(a) The future value after 9 years is $7142.49.

(b) The effective rate is $r_E=4.759 \:{\%}$ .

(c) The time to reach $13,000 is 21.88 years.

Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of $P$ dollars is invested at a rate of interest $r$ compounded continuously for $t$ years, the compound amount is

$A=Pe^{rt}$

(a) From the information given

$P=4700$

$r=4.65\%=\frac{4.65}{100} =0.0465$

$t=9 \:years$

Applying the above formula we get that

$A=4700e^{0.0465\cdot 9}\\A=7142.49$

The future value after 9 years is $7142.49.

(b) The effective rate is given by

$r_E=e^r-1$

Therefore,

$r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}$

(c) To find the time to reach $13,000, we must solve the equation

$13000=4700e^{0.0465\cdot t}$

$4700e^{0.0465t}=13000\\\\\frac{4700e^{0.0465t}}{4700}=\frac{13000}{4700}\\\\e^{0.0465t}=\frac{130}{47}\\\\\ln \left(e^{0.0465t}\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t\ln \left(e\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t=\ln \left(\frac{130}{47}\right)\\\\t=\frac{\ln \left(\frac{130}{47}\right)}{0.0465}\approx21.88$

3 0

3 years ago

There are two precalculus sections at a high school. Mr. Abel's class has 14 girls and 8 boys, while Mr. Bonitz's class has 1

Gemiola [76]

Answer:

14/46

Step-by-step explanation:

4 0

3 years ago

What is the side length of a 36 inch cube

Vladimir [108]

The side length is 3 inches

<h3>What is the perimeter of a cube?</h3>

The formula for perimeter of a cube is given as:

Perimeter = 12 × side length

We have that;

Perimeter = 36 inches
Side length be x

Substitute into the formula

12x = 36

Divide both sides by 12

12x/12 = 36 / 12

x = 3 inches

The side length is x and equal to 3 inches.

Hence, the side length is 3 inches

Learn more about a cube here:

brainly.com/question/1972490

#SPJ1

8 0

2 years ago

if Mark uses 3 3/4 tablespoons of coffee to make 10 cups of coffee, how much would he need to make one cup of coffee?

vodomira [7]

375/1000. You divide 3 3/4 by 10.

6 0

3 years ago

A clown bought six bags of round balloons with twenty four ballons in each bag . The clown also bought three bags of long balloo

Makovka662 [10]

Answer:

144 round balloons and 108 long balloons

Step-by-step explanation:

6 times 24 = 144

3 times 36 = 108

7 0

4 years ago