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3 years ago

Please help I’m not good at triangle angles

Mathematics

1 answer:

wlad13 [49]3 years ago

6 0

Answer:

Step-by-step explanation:

Two of the angles are just numbers and you add them.

The third is a term and you add it along with the other two.

The total is always 180 for a triangle.

80 + 58 + 5x - 3 = 180

138 + 5x - 3 = 180 Combine on the left

135 + 5x = 180 Subtract 135 from both sides

5x = 180 - 135 Combine the right

5x = 45 Divide by 5

x = 9

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2. Harry just deposited $1500 into a savings account giving 6% interest compounded quarterly.a) How much will be in the account

Studentka2010 [4]

The formula for compound interest is:

$\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ \text{where,} \\ A=\text{ Final amount} \\ r=\text{ Interest rate} \\ n=\text{ Number of times interest applied per period} \\ t=\text{ Number of time period elapsed} \\ P=\text{ Intial principal balance} \end{gathered}$

Given data:

$\begin{gathered} P=\text{ \$1500} \\ r=6\text{ \%}=0.06 \\ n=4\text{ times (compounded quarterly)} \end{gathered}$

a. After ten years, that is t = 10 years, the amount in the account will be

$\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times10} \\ A=\text{ }1500(1+0.015)^{40} \\ A=\text{ }1500(1.015)^{40} \\ A=\text{ \$2721.03} \end{gathered}$

b. After twenty years, that is t = 20 years, the amount in the account will be:

$\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times20} \\ A=1500(1.015)^{4\times20} \\ A=1500(1.015)^{80} \\ A=\text{ \$}4935.99 \end{gathered}$

c. The time it takes for Harry's initial account value to double will be:

$\begin{gathered} A=2\text{ x initial value = 2 }\times\text{ \$1500 = \$3000} \\ 3000=1500(1.015)^{4t} \\ (1.015)^{4t}=\frac{3000}{1500} \\ (1.015)^{4t}=2 \\ \text{ Find the logarithm of both sides} \\ \ln (1.015)^{4t}=\ln 2 \\ 4t=\frac{\ln 2}{\ln 1.015} \\ 4t=46.56 \\ t=\frac{46.56}{4}=11.64 \end{gathered}$

Therefore, the time it takes Harry's initial account to double is approximately 11 years

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1 year ago

I need it now it’s important with number 7 and the button one

Sphinxa [80]

His model is incorrect because 20 x 7 is not 14, it is 140. If he had 140 instead of 14, he would have been correct.

I haven't done division like that in a long time, so this is what I think it will look like. I didn't add other work (multiplying 4 with #'s) but you can if you have to

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3 years ago

lions [1.4K]

Answer:

x/9 = 1/5

x = 9/5

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Pls and pls what is the easy way to solve maths problems or how can I solve maths problems with ease?

solong [7]

Answer:

Ok here is my pro tip:

Step-by-step explanation:

Use both halfs of you brain at the same time, causing you to passout and have your head hit the keyboard, giving you the correct answer

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vagabundo [1.1K]

Answer:

Step-by-step explanation:

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