Answer to the problem 3/8r=15/16

Mathematics

1 answer:

Slav-nsk [51]3 years ago

5 0

Your answer would be r=5/2

If you want me to explain how i got that then tell me on my profile

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Two of the vertices of a triangle are located at (6,0) and (5,10) on the coordinate plane. The third vertex is located at (x,20)

Amiraneli [1.4K]

The answer is 1,1 . 3,-3, 5, -3

6 0

2 years ago

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 rectangular field is 450 meters long and 300 meters wide. What is the area of the field in square kilometers?

rodikova [14]

First you multiply 450 m ×300 m= 135,000 m
Then you convert to Kilometers 135,000 ÷1,000= 135 Kilometers

So the answer is 135 Kilometers

7 0

3 years ago

<1 is a complement of <2, and m<1=66. find <2

Furkat [3]

Answer:

114

Step-by-step explanation:

that's supplementary

6 0

3 years ago

Solve. -3/5x + 1/5 > 7/20

nignag [31]

-3/5x + 1/5 > 7/20

-3x + 1/5 > 7/20 join the denominators

-3x + 1 > 7/20 * 5 multiply both sides by 5

-3x + 1 > 35/20

-3x + 1 > 7/4

-3x > 7/4 - 1

-3x > 3/4

x < -3/4 ÷ 3

x < -1/4

hope that helps, God bless!

5 0

2 years ago