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2 years ago

Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number. n= Answer

Mathematics

2 answers:

Ira Lisetskai [31]2 years ago

8 0

Answer:

-45

Step-by-step explanation:

2/3x - 11 = x + 4

I created an inequality representing the above statement first. This makes things look less complicated than what the question is asking.

2/3x = x + 15

solve for x. I started by adding 11 to both sides.

-1/3x = 15

multiply both sides by -3

x = -45

Ilia_Sergeevich [38]2 years ago

4 0

Answer:

-45.

Step-by-step explanation:

2/3 x - 11 = x + 4

2/3 x - x = 4 + 11

-1/3x = 15

x = 15 * -3

x = -45.

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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:

brainly.com/question/27747709

brainly.com/question/27806277

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