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3 years ago

How do you do this ?

Mathematics

2 answers:

expeople1 [14]3 years ago

7 0

21+6=27

60+21=81

Hope that helped:D

Maru [420]3 years ago

4 0

Well the first part is 27 but the second part is adding 60 to 21 which is 81. dont forget that!

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True or false x - x +0 =0

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The answer is False. Just googled it

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3 years ago

5(2x−3) Simplify the Expression

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Answer:

$10x−15$

Step-by-step explanation:

$5(2x−3)$

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$10x−15$

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3 years ago

Which of the following properties justifies the statement 3 • 5 + 3 • 6 = 3 • 5 + 6 • 3?

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3 years ago

Suppose that $4000 is placed in a savings account at an annual rate of 6.4%, compounded quarterly. Assuming that no withdrawals

s2008m [1.1K]

Answer:

3.25 years (nearest hundredth)

Step-by-step explanation:

<u>Compound Interest Formula</u>

$\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}$

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
n = number of times interest applied per time period
t = number of time periods elapsed

Given:

A = $4916
P = $4000
r = 6.4% = 0.064
n = 4 (quarterly)

Substitute the given values into the formula and solve for t:

$\implies \sf 4916=4000\left(1+\frac{0.064}{4}\right)^{4t}$

$\implies \sf 4916=4000\left(1.016\right)^{4t}$

$\implies \sf \dfrac{4916}{4000}=\left(1.016\right)^{4t}$

$\implies \sf \dfrac{1229}{1000}=\left(1.016\right)^{4t}$

$\implies \sf \ln \left(\dfrac{1229}{1000}\right)=\ln \left(1.016\right)^{4t}$

$\implies \sf \ln \left(\dfrac{1229}{1000}\right)=4t \ln \left(1.016\right)$

$\implies \sf t=\dfrac{\ln \left(\frac{1229}{1000}\right)}{4\ln \left(1.016\right)}$

$\implies \sf t=3.247594892...$

Therefore, it will take 3.25 years (nearest hundredth) for the account to grow to $4916.

Learn more about compound interest here:

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2 years ago