3 years ago

-4b + 10 = -2 What is b

Mathematics

1 answer:

Tamiku [17]3 years ago

7 0

B equials -3
-4(-3)+10=-2
=-3

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A person borrows $10,000 and repays the loan at the rate of $2,400 per year. The lender charges interest of 10% per year. Assumi

omeli [17]

Answer:

a) $M(t)=24000-14000e^{t/10}$

b) It takes 5.390 years to pay off the loan.

Step-by-step explanation:

(a) The differential equation for the variation in the amount of the loan M is

$\frac{dM}{dt}=0.1M-2400$

We can express this equation as:

$\frac{dM}{dt}=0.1M-2400\\\\10\int \frac{dM}{M-24000} =\int dt\\\\10ln(M-24000)=t\\\\M-24000=Ce^{t/10}\\\\M=Ce^{t/10}+24000\\\\M(0)=Ce^{0/10}+24000=10000\\\\C+24000=10000\\\\C=-14000\\\\M(t)=24000-14000e^{t/10}$

(b) We can calculate this as M(t)=0

$M(t)=24000-14000e^{t/10}=0\\\\e^{t/10}=24000/14000=1.714\\\\t=10ln(1.714)=10* 0.5390=5.390$

It takes 5.390 years to pay off the loan.

8 0

2 years ago

A:<br> What is 7*<img src="https://tex.z-dn.net/?f=10%5E%7B15%7D" id="TexFormula1" title="10^{15}" alt="10^{15}" align="absmiddl

pickupchik [31]

Step-by-step explanation:

7*10^10=70,000,000

(70milion)

7*10^15=7000,000,000,000,000

3 0

2 years ago

Please help with this pleaseee

saw5 [17]

Answer:

CED=126

Step-by-step explanation:

The total of all 3 angles should be 180

so:

180-38-16 (ABC is equal to ECD)

180-38-16=126

126=CED

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2 years ago

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joel has an average salary of 34840 works 40 hours a week 52 weeks a year.how much money he makes per hour

seropon [69]

40*52= 2080

34840 / 2080 = $16.75 an hour

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3 years ago