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Y_Kistochka [10]
3 years ago
9

Find the value of x. (4x + 10 )

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
5 0

Answer:

20

Step-by-step explanation:

4x + 10 = 90° cause it's hypotenuse

4x = 90-10

x = 80÷4

= 20

if you don't understand message me :)

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Step-by-step explanation:

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If $3000 is deposited in an account that pays 5% interest, what is the difference in the amount after 4 years between the amount
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\bf \qquad \textit{Simple Interest Earned Amount}\\\\&#10;A=P(1+rt)\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{original amount deposited}\to& \$3000\\&#10;r=rate\to 5\%\to \frac{5}{100}\to &0.05\\&#10;t=years\to &4&#10;\end{cases}&#10;\\\\\\&#10;A=3000(1+0.05\cdot 4)\implies \boxed{A=3600}\\\\&#10;-------------------------------\\\\

\bf \qquad \textit{Compound Interest Earned Amount}&#10;\\\\&#10;A=P\left(1+\frac{r}{n}\right)^{nt}&#10;\quad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{original amount deposited}\to &\$3000\\&#10;r=rate\to 5\%\to \frac{5}{100}\to &0.05\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{annually, thus once}&#10;\end{array}\to &1\\&#10;t=years\to &4&#10;\end{cases}

\bf A=3000\left(1+\frac{0.05}{1}\right)^{1\cdot 4}\implies A=3000(1.05)^4\implies \boxed{A=3646.51875}\\\\&#10;-------------------------------\\\\&#10;\stackrel{\textit{compounded interest}}{3646.51875}~~-~~\stackrel{\textit{simple interest}}{3600}
7 0
4 years ago
Can someone explain this.
san4es73 [151]

Answer:

9/4 yds fabric per 1 ft of ribbon

Step-by-step explanation:

3/4 yd fabric is required for every 2/3 ft of ribbon.  Let's put this info into an equation of ratios to figure out the number of yards of fabric required for every ONE ft of ribbon:

  3/4 yd fabric        2/3 ft ribbon

----------------------- = ---------------------

            x                    1 ft ribbon

Use cross mult. to solve this.  We obtain 3/4 = (2/3)x.

Mult. both sides by (3/2) yields (3/2)(3/4) = (3/2)(2/3)x = x.

This comes out to 9/4 yds fabric per 1 ft of ribbon.

5 0
3 years ago
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