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3 years ago

What is the value of x?

Mathematics

1 answer:

Bogdan [553]3 years ago

6 0

Answer:

Step-by-step explanation:

90+15=105

105÷5=21

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future value of 10% savings from earnings of 36000 earns 6.25% annual interest compounded quarterly for 15 years

hoa [83]

without further ado

10% of 36000 is simply 3600, we chopped a "0" off of it hmmm, ok so

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3600\\ r=rate\to 6.25\%\to \frac{6.25}{100}\dotfill &0.0625\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &15 \end{cases} \\\\\\ A=3600\left(1+\frac{0.0625}{4}\right)^{4\cdot 15}\implies A=3600(1.015625)^{60}\implies A\approx 9126.53$

7 0

3 years ago

A stadium can seat 16,000 people at full capacity. If there are 13,920 people in the stadium, what percentage of the capacity is

katrin [286]

Answer:

87%

Step-by-step explanation:

In order to get 87% you divide 16000 by 13920

16000/13920= 0.87

To convert this into a percentage you can multiply by 100

0.87 * 100 =87

Answer: 87%

I hope this helps :)

4 0

3 years ago

Read 2 more answers

In an article about disinflation, various investments were examined. The investments included stocks, bonds, and real estate. Su

kykrilka [37]

Answer:

Step-by-step explanation:

Using the formula for calculating the confidence interval to estimate an interval for the mean rate of return on all real estate investments with 95% confidence;

Confidence Interval = xbar±(Z*S/√n)

xbar is the mean = 20%(assumed since we are not given)

n is the sample size = 200

S is the standard deviation = 2.25%

Z is the Z score at 95% confidence interval = 1.960

Confidence Interval = 20±(1.96*2.25/√200)

Confidence Interval = 20±(1.96*2.25/14.14)

Confidence Interval = 20±(1.96*0.159)

Confidence Interval = 20±0.312

Confidence Interval = (20-0.312, 20+0.312)

Confidence Interval = (19.688, 20.312)

Hence the interval for the mean rate of return on all real estate investments with 95% confidence is 19.688<x<20.312.

This means that the minimum rate of return on investment is 19.688% and the maximum rate of return on investment is 20.312%.(assuming 20% as the mean)

3 0

3 years ago

Solve for x can anyone help me ?

Zepler [3.9K]

Answer:

Step-by-step explanation:

-18x + 21 > -15

-18x > -36

x < 2

20x - 13》17

20x》40

x》2

Or is union

Union of x < 2 and x》2 is all real numbers

7 0

3 years ago

The lateral surface area of a cube is 324 cm ² . Find its volume and total surface area

AfilCa [17]

Step-by-step explanation:

<h2><u>Given :</u></h2><h2 />

Lateral Surface Area of Cube = 324 cm²

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}}\end{gathered}$

Volume of the Cube = ?

Total Surface Area of the Cube = ?

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}}\end{gathered}$

<h2><u>Solution :</u></h2>

<u>~ Formula U</u><u>s</u><u>e</u><u>d</u><u> :</u>

Lateral Surface Area :

${\red{\dashrightarrow}} \: \: {\underline{\boxed{\purple{\sf{ Lateral \: Surface \: Area {\small_{(Cube)}} = 4 a² }}}}}$

Volume :

$\large{\red{\dashrightarrow}} \: \: {\underline{\boxed{\purple{\sf{ Volume{\small_{(Cube)}} = a³ }}}}}$

Total Surface Area :

$\large{\red{\dashrightarrow}} \: \: {\underline{\boxed{ \red{\sf{ Total \: Surface \: Area {\small_{(Cube)}} = 6a² }}}}}$

$\begin{gathered} \\ {\qquad{\rule{150pt}{1pt}}}\end{gathered}$

<u>~ Calculating the Side :</u>

$\\{\longmapsto{\qquad{\sf{ \cancel\dfrac{324}{4} = a² }}}}$

${\longmapsto{\qquad{\sf{ LSA = 4a² }}}} \\ \\$

${\longmapsto{\qquad{\sf{ 324 }}}}$

$\longmapsto{\qquad{\sf{ 81 = a²}}}$

${\longmapsto{\qquad{\sf{ \sqrt{81} = a }}}} \\ \\$

${\qquad{\textsf{ Side of the Cube = {\pink{\sf{ 9 \: cm}}}}}}$

$\begin{gathered} \\ {\qquad{\rule{150pt}{1pt}}}\end{gathered}$

<u>~ Calculating the</u><u> </u><u> Volume :</u>

$\begin{gathered}{ \red{\longmapsto{\qquad{\sf{ Volume = a³ }}}}} \\ \\ \ { \pink{\longmapsto{\qquad{\sf{ Volume = 9³ }}}} }\\ \\ \ { \green{\longmapsto{\qquad{\sf{ Volume = 9 \times 9 \times 9 }}}}} \\ \\ \ { \purple{\qquad{\textsf{ Volume of the Cube = {\green{\sf{ \boxed{\longmapsto \sf729 \: cm³ }}}}}}}}\end{gathered}$

<u>~ Calculating the</u><u> Total Surface Area :</u>

${\longmapsto{\qquad{\sf{ TSA = 6a² }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ TSA = 6 \times 9² }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ TSA = 6 \times 9 \times 9 }}}}$

${\longmapsto{\qquad{\sf{ TSA = 6 \times 81 }}}} \\ \\ \ {\qquad{\textsf{ Total Surface Area of the Cube = {\red{\sf{ 486 \: cm² }}}}}}$

<h2><u>Therefore :</u></h2>

❝ Volume of the Cube is 729 cm³ and it's Total Surface Area is 486 cm² .❞

$\begin{gathered} \\ {\pink{\underline{\rule{75pt}{9pt}}}}{\blue{\underline{\rule{75pt}{9pt}}}}{\color{cyan}{\underline{\rule{75pt}{9pt}}}}\end{gathered}$

5 0

3 years ago

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