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2 years ago

For what value of x is f(x) = 5 - 12x equal to 29?

Mathematics

1 answer:

Alina [70]2 years ago

8 0

Answer:

5-12x=29

-12x=29-5

-12x=24

x=-2

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suppose that you have 3000$ to invest. which investment yields the greater return over a 10 year period: 8.04% compounded daily

Ksenya-84 [330]

Answer: Option A: 8.04% compounded daily

<u>Step-by-step explanation:</u>

$A = P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\qquad where\\\\\bullet A = \text{accrued amount (principal plus interest earned)}\\\bullet P = \text{principal (amount invested)}\\\bullet r = \text{rate (in decimal form)}\\\bullet n=\text{number of times compounded in one year}\\\bullet t=\text{time (number of years)}\\\\\\Option\ A:\\A = \text{unknown}\\P=3000\\r=8.04\%\rightarrow 0.0804\\n=\text{daily}\rightarrow 365\\t=10\\\\A=3000\bigg(1+\dfrac{0.0804}{365}\bigg)^{365\times 10}\\\\.\ =\$ 6,702.79$

$Option\ B:\\A = \text{unknown}\\P=3000\\r=8.1\%\rightarrow 0.081\\n=\text{quarterly}\rightarrow 4\\t=10\\\\A=3000\bigg(1+\dfrac{0.081}{4}\bigg)^{4\times 10}\\\\.\ =\$ 6,689.37$

Option A results in the greater amount of money.

7 0

3 years ago

What quantity of a 50% acid solution must be mixed with a 20% solution to produce 600 mL of a 45% solution?

Naddika [18.5K]

Answer:

400 mL

Step-by-step explanation:

0.50x + 0.20(600-x) = 0.40*600

50x + 20*600 - 20x = 40*600

30x = 20*600

x = 20*20

x = 400 mL

4 0

2 years ago

the earth and the sun are 93,000,000 apart. if the moon is 0.27% of the distance between the sun and earth, how many miles away

Rashid [163]

The moon is 238,855 miles away!

4 0

2 years ago

What is the midpoint of the line segment with endpoints at (4, 12) and (-10, 32)?

Angelina_Jolie [31]

Answer:

The midpoint is (-3,22)

Step-by-step explanation:

Use the midpoint formula (x1+x2 /2, y1+y2 /2)

6 0

2 years ago

How to solve y for the equation 6y+x=8

IgorC [24]

y=4/3-x/6

Step-by-step explanation:

6y/6+x/6=8/6

y+x/6=4/3

-x/6 -x/6

y=4/3-x/6

7 0

3 years ago

Read 2 more answers