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3 years ago

K-10/2=7 two Step Equation

Mathematics

1 answer:

aivan3 [116]3 years ago

6 0

I hope this helps you

K-10=7.2

K-10=14

K=14+10

K=24

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1) Sally needs $20,000 in 4 years. She has $10,000 to invest. If interest is compounded continuously, what rate is required for

lesya [120]

Answer:

$17.33\%$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=4\ years\\ A=\$20,000\\ P=\$10,000$

substitute in the formula above and solve for r

$20,000=10,000(e)^{4r}$

$2=(e)^{4r}$

Applying ln both sides

$ln(2)=4rln(e)$

$ln(2)=4r$

$r=ln(2)/4=0.1733$

Convert to percentage

$0.1733*100=17.33\%$

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3 years ago

Which statements are true regarding f(x)=10/x+5

belka [17]

Answer:

1. The domain of f(x) is (–∞, –5) U (–5, ∞).

4. The y-intercept is (0, 2).

5. There is a vertical asymptote at x = –5.

6. The end behavior is x → –∞, f(x) → 0 and x → ∞, f(x) → 0.

Step-by-step explanation:

I got it correct on e2020

5 0

3 years ago

Read 2 more answers

mrs peele has 11 1/4 pounds of cookie dough a batch of cookies requires 2 1/2 of cookie dough how many batchesof cookie dough ca

Vladimir79 [104]

Answer:

4.5 lbs

Step-by-step explanation:

just divide 11.25 by 2.5

3 0

3 years ago

Which equation is equivalent to √x^2+81 = x+10

jeka57 [31]

Keywords:

<em>equation, operations, equivalent, binomial, square root </em>

For this case we have an equation in which we must apply operations to rewrite it in an equivalent way. We must start by raising both sides of the equation to the square. Thus, we eliminate the square root of the left side of equality and finally solve the binomial of the right side of equality.

So we have:

$\sqrt {x ^ 2 + 81} = x + 10\\(\sqrt {x ^ 2 + 81}) ^ 2 = (x + 10) ^ 2\\x ^ 2 + 81 = (x + 10) ^ 2$