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guapka [62]
3 years ago
15

-7z - 59 = -10 what does z =?

Mathematics
2 answers:
Shtirlitz [24]3 years ago
8 0

Answer:

-7

Step-by-step explanation:

liberstina [14]3 years ago
5 0

Answer:

z = - 7

Step-by-step explanation:

-7z = 49 (you add up -59 and -10, 2 - signs = +)

-z = 7 (you do 49 divided by 7)

z = - 7

I think this is right

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Ryan placed $1,000 in a savings account which compounds interest annually at a rate of 2.5%. How much will he have in the accoun
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Answer:

1,050

Step-by-step explanation:

p=1000

R=2.5%

T=2 years

S.I=?

S.I=PRT÷100

S.I=$50

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Amount=$1,050

5 0
3 years ago
A man invested $10,000 in the bank. if the account pays 5% pa interest compounded monthly, how long would take for the man to ac
sesenic [268]

Answer:

<u>3.63 years</u>

Step-by-step explanation:

The formula would be of compound growth, which is:

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

Where

F is future amount (with interest)

P is initial deposit

r is rate of interest in a year

n is number of compounding in 1 year

t is the time in years

Given in this problem:

To accumulate 2000 interest means the future amount will be:

10000+2000 = 12,000

Present amount is 10,000

r is the annual interest, which is 5% or 0.05

compounded monthly means, 12 times a year, so n = 12

t is time in years, which we need to find

Substituting, we have:

F=P(1+\frac{r}{n})^{nt}\\12000=10000(1+\frac{0.05}{12})^{12t}\\1.2=(1.0042)^{12t}\\Ln(1.2)=Ln((1.0042)^{12t})\\Ln(1.2)=12t*Ln(1.0042)\\12t=\frac{Ln(1.2)}{Ln(1.0042)}\\12t=43.50099\\t=3.63

The time it will take is around <u>3.63 years</u>

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3 years ago
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Find the volume (in terms of pi) of a sphere of its surface area is 400 pi ft2
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\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2\qquad \qquad \implies \stackrel{SA}{400\pi }=4\pi r^2\implies \cfrac{400\pi }{4\pi }=r^2 \\\\\\ 100=r^2\implies \sqrt{100}=r\implies \boxed{10=r} \\\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad \qquad V=\cfrac{4\pi \boxed{10^3}}{3}\implies V=\cfrac{4000\pi }{3}

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3 years ago
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