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3 years ago

PLEASE HELP! FILL IN CHART ! ! ! WILL MARK BRAINIEST IF YOU ANSWER CORRECTLY

Mathematics

1 answer:

zavuch27 [327]3 years ago

5 0

Answer:

a) 96 /16 = 6

b) 31.25/ ( 2.5)^2= 5

c) V/ pi r^2

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Anna invests $7,000 in an account that compounds interest continuously and earns 7.5%. How long will it take for her

NeX [460]

Answer:

It will take 36.1 years for her money to reach $105,000.

Step-by-step explanation:

The amount of money earned after t years in continuous interest is given by:

$P(t) = P(0)e^{rt}$

In which P(0) is the initial investment and r is the interest rate, as a decimal.

Anna invests $7,000 in an account that compounds interest continuously and earns 7.5%.

This means that $P(0) = 7000, r = 0.075$

How long will it take for her money to reach $105,000?

This is t for which P(t) = 105000.

$P(t) = P(0)e^{rt}$

$105000 = 7000e^{0.075t}$

$e^{0.075t} = \frac{105000}{7000}$

$e^{0.075t} = 15$

$\ln{e^{0.075t}} = \ln{15}$

$0.075t = \ln{15}$

$t = \frac{\ln{15}}{0.075}$

$t = 36.1$

It will take 36.1 years for her money to reach $105,000.

6 0

3 years ago

Select the expression that is equivalent to

Ainat [17]

Answer:6

Step-by-step explanation:

6 0

3 years ago

What is the function rule for the line

Sindrei [870]

It’s b. Because the number with out the x is the y-interact which is -2 then to find the other number I look at the graph and find another point and then count the rise/run which is rising 2 running 3 and it’s also positive that’s why it’s b.

7 0

3 years ago

A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers

icang [17]

Answer:

$\huge\boxed{14\ \text{and}\ 7}$

Step-by-step explanation:

$n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right$

$\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}$

$\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}$

8 0

3 years ago

the ice cream store makes 140 quarts of ice cream in 7 hours.how many quarts can be made in 12 hours?

Vaselesa [24]

Ok so to find the slope meaning how much quarts can be made in 1 hour you'd need to divide 140 by 7, if you do so you'll find 20. (20 quarts are made in an hour)

Now you can multiply 20 by 12, which is 240.

So, in 12 hours : 240 quarts of ice cream is made.

3 0

3 years ago