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3 years ago

Sue invests $600 in an account at 4.5% simple interest paid annually over the term of 10 years. What is the final value?

Mathematics

1 answer:

BaLLatris [955]3 years ago

6 0

Answer:

$870

Step-by-step explanation:

To figure out how much the final value here is, use the formula A = P(1 + rt). (A = total accured amount, P = principal, r = rate (%), t = time (years))

A = 600 * (1 + (10 * 9/200)) (multiply 10 by 9 and put that over 200)

A = 600 * (1 + (90/200)) (90/200 simplifies to 9/20)

A = 600 * (1 + (9/20)) (add 1 (20/20) to 9/20 to get 29/20)

A = 600 * 29/20 (Multiply 600 by 29 and put that over 20)

A = 17400/20 (Divide 17400 by 20 to get 870)

A = 870

$870 is the final value.

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Select ALL the correct answers. Select all functions that have a y-intercept of (0,5).

otez555 [7]

1.) f(x)=7(b)^x-2
x=0→f(0)=7(b)^0-2=7(1)-2=7-2→f(0)=5→(x,f(x))=(0,5) Ok

2.) f(x)=-3(b)^x-5
x=0→f(0)=-3(b)^0-5=-3(1)-5=-3-5→f(0)=-8→(x,f(x))=(0,-8) No

3.) f(x)=5(b)^x-1
x=0→f(0)=5(b)^0-1=5(1)-1=5-1→f(0)=4→(x,f(x))=(0,4) No

4.) f(x)=-5(b)^x+10
x=0→f(0)=-5(b)^0+10=-5(1)+10=-5+10→f(0)=5→(x,f(x))=(0,5) Ok

5.) f(x)=2(b)^x+5
x=0→f(0)=2(b)^0+5=2(1)+5=2+5→f(0)=7→(x,f(x))=(0,7) No

Answers:
First option: f(x)=7(b)^x-2
Fourth option: f(x)=-5(b)^x+10

7 0

3 years ago

The figure below is divided into 100 squares of equal size.

Stolb23 [73]

Answer:

45%

Step-by-step explanation:

45 boxes are shaded

so percentage shaded is 45 out of the total which is 100

so 45 / 100 X 100

=45%

7 0

3 years ago

Jorge drew a square that had a side length of 8 inches. What is the perimeter of Jorge’s square?

ziro4ka [17]

Answer:

32, because 8*4 is 32

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The ratio of Dobermans to terriers is 2:7. There are 774 dogs altogether.

kaheart [24]

Answer:

172-602 I think

Step-by-step explanation:

6 0

3 years ago

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

Pavel [41]

Answer:

0.818

Step-by-step explanation:

Since the shipment has a ton of aspirin tablets, we can assume that we pick 13 of them with reposition, because the probability shoudn't change dramatically from the probability of picking without reposition if we do so.

We call D the amount of defective tablets. If we assume that we pick the tablets with reposition, then we obtain that D is a random variable of Binomial distribution with parameters 13 and 0.6 (the probability of picking a defective tablet).

We want D to be at most one. To calculate the probability of that event we add up the probability of D being equal to 0 and the probability of D being equal to one. Since D is binomial, we have

$P(D = 0) = (1-0.06)^{13} = 0.447$
$P(D = 1) = {13 \choose 1} * 0.06^1 * (1-0.06)^{12} = 13*0.06*0.94^{12} = 0.371$

We conclude that

$P(D \leq 1) = P(D = 0) + P(D = 1) = 0.447+0.371 = 0.818$

Hence, the shipment will be accepted with probability 0.818

I hope this helps you!

6 0

3 years ago