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3 years ago

The supplement of an angle is 10 more than twice the complement of the angle. find the angle.

Mathematics

1 answer:

kvasek [131]3 years ago

7 0

Given a certain angle $x$ , its complement is $90-x$ and its supplement is $180-x$ .

So, if the supplement of an angle is 10 more than twice the complement, you have

$180-x = 2(90-x)+10$

expand the right hand side:

$180-x = 180-2x+10$

We can simplify the 180 appearing on both sides:

$-x = -2x+10$

Add 2x to both sides

$x = 10$

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3 years ago

Toby buys packs of 12 racing cars for R49,99 and sells each racing car for R10 at school

Ratling [72]

Answer:

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1.3 58.34%

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3 years ago

(2 * 15x) + (2 * 10)

yan [13]

Answer:

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3 years ago

Read 2 more answers

in the following ordinary annuity interest is compounded with each payment and the payment is made at the end of the compounding

stealth61 [152]

Answer: $59313.58

Step-by-step explanation:

We know that formula we use to find the accumulated amount of the annuity ( ordinary annuity interest is compounded ) is given by :-

$FV=A(\frac{(1+\frac{r}{m})^{mt})-1}{\frac{r}{m}})$ , where A is the annuity payment deposit, r is annual interest rate , t is time in years and n is number of periods.

Given : Annuity payment deposit :A= $4500

rate of interest :r= 6%=0.06

No. of periods : m= 1 [∵ its annual]

Time : t= 10 years

Now we get,

$FV=(4500)(\frac{(1+\frac{0.06}{1})^{1\times10})-1}{\frac{0.06}{1}})\\\\\Rightarrow\ FV=(4500)(\frac{(1.06)^{10})-1}{0.06})\\\\\Rightarrow\ FV=(4500)(\frac{0.79084769654}{0.06})\\\\\Rightarrow\ FV=(4500)(13.1807949423)\\\\\Rightarrow\ FV=59313.5772407\approx59313.58 \ \$

∴ the accumulated amount of the annuity= $59313.58

4 0

3 years ago

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wlad13 [49]

Answer: Rational

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