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3 years ago

Rewrite the expression with the given base. 125^2x with a base of 5

1 answer:

6 0

We should know that
$(a^{m} )^{n} = a^{m*n}$
125 = 5 * 5 * 5

so, the given <span>expression can be </span><span>rewritten as following </span>
$125^{2x} = (5*5*5)^{2x} = ( 5^{3} )^{2x} = 5^{3*2x} =5^{6x}$

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Divide each number by 3 Then subtract the numbers you got from the answers that you divided

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3 years ago

An account has $26,000 after 15 years. The account received 2.3 percent interest compounded continuously. How much was deposited

Leya [2.2K]

The intital amount deposited was $18485.82.

<h3>How to find the compound interest?</h3>

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

$a = p(1 + \dfrac{r}{n})^{nt}$

An account has $26,000 after 15 years. The account received 2.3 percent interest compounded continuously.

A = 26000

R = 0.02.3

$a = p(1 + \dfrac{r}{n})^{nt}$

$26000 = p(1 + \dfrac{2.3}{100})^{15}\\\\26000 = p \times 1.4064\\\\\P= 18485.82$

Therefore, the intital amount deposited was $18485.82.

Learn more about compound interest here:

brainly.com/question/1329401

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2 years ago

A tropical punch recipe calls for 300 ml of sugar for every 222 flavor packages. Write an equation that shows the relationship b

mihalych1998 [28]

Answer:

s = 150f

Step-by-step explanation:

A tropical punch recipe calls for 300 ml of sugar for every 2 flavor packages. Write an equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe.

The amount of sugar in milliliters = s

The amount of flavor packages for these recipe = f

The relationship between 2 variables

= y ∝ x

y = kx

k = constant of proportionality

Hence:

s ∝ f

s = kf

Note ,

s = 300

f = 2

300 = 2k

k = 300/2

k = 150

Therefore, the equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe is:

s = kf

s = 150f

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