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3 years ago

What does 1/8x-49/8 equal

Mathematics

1 answer:

netineya [11]3 years ago

7 0

Answer:

x=49

Step-by-step explanation:

Let's solve your equation step-by-step.

x−

Answer:

x=49

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Claire invested $2,400 in an account paying an interest rate of 3.5% compounded monthly. Assuming no deposits or withdrawals are

nevsk [136]

Answer:

18 years (to the nearest year)

Step-by-step explanation:

<u>Compound interest formula</u>:

$A=P(1+\frac{r}{n})^{nt}$

where A is amount, P is principal, r is interest rate (decimal format), n is the number of times interest is compounded per unit 't', and t is time

Given:

A = 4490
P = 2400
r = 3.5% = 0.035
n = 12

$\implies 4490=2400(1+\frac{0.035}{12})^{12t}$

$\implies \dfrac{449}{240}=\left(\dfrac{2407}{2400}\right)^{12t}$

$\implies \ln\dfrac{449}{240}=\ln\left(\dfrac{2407}{2400}\right)^{12t}$

$\implies \ln\dfrac{449}{240}=12t\ln\left(\dfrac{2407}{2400}\right)$

$\implies t=\dfrac{\ln\dfrac{449}{240}}{12\ln\left(\dfrac{2407}{2400}\right)}$

$\implies t=17.92277136...$

Therefore, it would take 18 years (to the nearest year) for the account to reach $4,490

5 0

3 years ago

A power company calculates a person's monthly bill from the number of

jenyasd209 [6]

Answer: (b)

Step-by-step explanation:

Given

Function for bill calculation is

$\Rightarrow b(x)=\left \{ {{0.15x\quad \quad \quad \, \ \ \ \ x200}} \right.$

The consumption is 700 kWh i.e. more than 200

Therefore, bill is given by the second function i.e. $0.10(x-200)+30$

Substitute 700 for x to get the bill

$\Rightarrow 0.1(700-200)+30\\\Rightarrow 50+30=\$80$

Hence, option (b) is correct.

5 0

3 years ago

How to solve -5/7-11/7x=-y<br> 2y=7+5x

Oliga [24]

$\left\{\begin{array}{ccc}-\frac{5}{7}-\frac{11}{7}x=-y&/\cdot(-1)\\2y=7+5x\end{array}\right\\\left\{\begin{array}{ccc}\frac{5}{7}+\frac{11}{7}x=y\\2y=7+5x\end{array}\right\\\\substitute\\\\2\cdot\left(\frac{5}{7}+\frac{11}{7}x\right)=7+5x\\\\\frac{10}{7}+\frac{22}{7}x=7+5x\ \ \ /\cdot7\\\\10+22x=49+35x\\\\22x-35x=49-10\\\\-13x=39\ \ \ /:(-13)\\\\x=-3$

$\left\{\begin{array}{ccc}x=-3\\y=\frac{5}{7}+\frac{11}{7}x\end{array}\right\\\left\{\begin{array}{ccc}x=-3\\y=\frac{5}{7}+\frac{11}{7}\cdot(-3)\end{array}\right\\\left\{\begin{array}{ccc}x=-3\\y=\frac{5}{7}-\frac{33}{7}\end{array}\right\\\left\{\begin{array}{ccc}x=-3\\y=-\frac{28}{7}\end{array}\right\\\left\{\begin{array}{ccc}x=-3\\y=-4\end{array}\right$

6 0

4 years ago

True or false please help

erik [133]

<h3>Answer: False</h3>

Explanation:

The number $\pi$ (read out as "pi") is approximately 3.14

So $3 \times \pi = 3\pi \approx 3*3.14 \approx 9.42$

On the other hand,

$\sqrt{64} = \sqrt{8^2} = 8$

So we can see that the original claim is false because $3\times \pi \approx 9.42$ is <u>not</u> smaller than $\sqrt{64} = 8$ . It should be the other way around.

5 0

2 years ago

Write in slope-intercept form an equation of the

Ira Lisetskai [31]

Answer:

y = 5x - 6

Step-by-step explanation:

8 0

3 years ago