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3 years ago

Which function has a range of y20?

Mathematics

1 answer:

dusya [7]3 years ago

7 0

Answer:

t218

Step-by-step explanation:

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Which equation describes the line with the slope 2/3 that passes through the given point on the graph?

Phoenix [80]

Answer: y=2/3x-2

Step-by-step explanation:

Slope intercept form is: y=mx+b

m=slope

b= y-intercept

slope is 2/3

5 0

3 years ago

Sarah Wiggum would like to make a single investment and have $1.7 million at the time of her retirement in 34 years. She has

vovangra [49]

Answer:

Sarah has to invest $502,958.58 today.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$

In this question:

$t = 35, I = 0.07, T = 1700000$

She has to invest P today.

$T = E + P$

$1700000 = E + P$

$E = 1700000 - P$

$E = P*I*t$

$1700000 - P = P*0.07*34$

$3.38P = 1700000$

$P = \frac{1700000}{3.38}$

$P = 502958.58$

Sarah has to invest $502,958.58 today.

8 0

3 years ago

Which of the following integrals will find the volume of the solid that is formed when the region bounded by the graphs of y=e^x

dimulka [17.4K]

The fourth option is correct.

See the attached image. The red cylinder represents a washer formed by the described revolution. Its volume is

$\pi((\text{outer radius})^2-(\text{inner radius})^2)(\text{height})$

so when we integrate, we take

$\displaystyle\pi\int_0^1((e^x+2)^2-3^2)\,\mathrm dx$

7 0

3 years ago

I need help simplifying a math problem. It is (x^2 * x^-3)^4

Mashutka [201]

$(x^2 \times x^{-3})^4 \\ \\ (x^{2-3})^4 \ / \ product \ rule \\ \\ (x^{-1})^4 \ / \ simplify \\ \\ x^{-4} \ / \ simplify \\ \\ \frac{1}{x^4} \ / \ negative \ power \ rule \\ \\ Answer: \frac{1}{x^4}$

4 0

3 years ago

Solve the two step equations

disa [49]

Hello!

1) -3x - 4 = 23

-3x = 23 + 4

-3x = 27

x = 27 : (-3)

x = -9

2) x/2 - 12 = -4

x - 24 = -8

x = -8 + 24

x = 16

3) 6a + (-1) = 10

6a - 1 = 10

6a = 10 + 1

6a = 11

a = 11 : 6

a = 11/6

4) -(x + 2) = 12

x + 2 = -12

x = -12 - 2

x = -14

5) 7a + 12 = 10

7a = 10 - 12

7a = -2

a = -2 : 7

a = -2/7

6) -4(a + 2) = 12

a + 2 = -3

a = -3 - 2

a = -5

Good luck! :)

7 0

3 years ago