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3 years ago

Find the slope of the line passing through the points (-5,3) and (7,6)

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

5 0

Answer:1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

=(9-3)/(7-(-5))

=6/12

= 1/2

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Kristen invests $5,745 in a bank. The bank pays 6.5% interest compounded monthly. How long must she leave the money in the bank

s344n2d4d5 [400]

formula is $A=P(1-\frac{r}{n})^{nt}$

where A=final amount

P=principal

r=interest rate in decimal

n=number of times per year it is compounded

t=time in years

we want to find where

A=2P

and P=5745

and r=6.5%=0.065

n=monthly=12

remember that $ln(x^a)=a(ln(x))$

also that $(a^b)^c=a^{bc}$

$2(5745)=5745(1+\frac{0.065}{12})^{12t}$ , solving for t

divide both sides by 5745 to simplify things a bit

$2=(1+\frac{0.065}{12})^{12t}$ I'd rather not simplify this because it give us a decimals and those aren't exact, if we combine, we get 12.065/12 for inside parenthases

$2=(\frac{12.065}{12})^{12t}$

take ln of both sides

$ln(2)=ln((\frac{12.065}{12})^{12t})$

$ln(2)=(12t)ln(\frac{12.065}{12})$

divide both sides by $12ln(\frac{12.065}{12})$

$\frac{ln(2)}{12ln(\frac{12.065}{12})}=t$

using our calculator, t≈10.6927

so rounded, we get 10.7 years

3 0

3 years ago

Please help. will give brain list!!!

Ludmilka [50]

Answer:

0.75, or 3/4. same thing.

Step-by-step explanation:

divide both sides by 3 on a calc. easy!!!!

8 0

3 years ago

Read 2 more answers

1 point

Dmitry_Shevchenko [17]

I’m sure the answer is, she can drive 562.5 miles.

Explanation:
.16 x 562.5 = 90

4 0

2 years ago

X + 15 - 4<br> Please help ty

IrinaK [193]

$x+15-4 \\ \\ =x+11$

4 0

3 years ago

(2)/(7):0.6x=(4)/(21):0.25

inysia [295]

Answer:

= 1.6

Unless you meant to clarify what in the equation you needed, but that is the answer to it.

7 0

3 years ago