1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IrinaK [193]
3 years ago
6

Can someone answer these questions please, i'm having trouble with them

Mathematics
2 answers:
fiasKO [112]3 years ago
4 0

Answer:

1. $686.94

2. $735.03

3. $10707.55

4. $17631.94

5. $19635.72

Step-by-step explanation:

1st Question:

The interest rate is 7% for each year. This means that each year the person has to pay 7% more than the previous amount. So we need to multiply the initial amount by (0.07+1=1.07) in order to get the interest for the first year. if we want to find the second year's interests then we will have to multiply 2 (1.07)'s and so on.

in this case our function is: 600*(1.07)^t=P(t)

when t=2 P(2)=600*(1.07)^2=$686.94

2nd Question:

Function: 600*(1.07)^t=P(t)

when t=3 P(3)=600*(1.07)^3=$735.03

3rd Question:

initial value=$8500

1+0.08=1.08

Function: 8500*(1.08)^t=P(t)

t=3

P(3)=8500*(1.08)^3=$10707.55

4th Question:

initial value=$12000

1+1.08=1.08

t=5

Function: P(t)=12000*(1.08)^t

P(5)=12000*(1.08)^5=$17631.94

5th Question:

Function: 14000*(1.07)^t=P(t)

P(5)=14000*(1.07)^5

P(5)=$19635.72

zepelin [54]3 years ago
4 0
Dang bro did it before me
You might be interested in
Determine the measure of angle b, and describe the relationship between the two angles shown.
Lana71 [14]

Answer:

b=130°

Step-by-step explanation:

The relationship between these two angles is about the fact that they are supplementary

i.e their sum is 180°

5 0
2 years ago
Find the mass at time t=0. ANSWER HAS TO BE IN GRAMS
777dan777 [17]

For part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c)  20 years.

<h3>What is exponential decay?</h3>

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have an equation for radioactive decay:

\rm m(t) = 400e^{-0.035t}

a) Plug t = 0

\rm m(0) = 400e^{-0.035\times 0}

m(0) = 400 grams

b) plug t = 20 years

\rm m(20) = 400e^{-0.035\times 20}

After solving:

m(20) = 198.63 grams

c) Plug m(t) = m(0)/2 = 400/2 = 200 grams

\rm 200 = 400e^{-0.035t}

x = 19.80 years ≈ 20 years

Thus, for part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c)  20 years.

Learn more about the exponential decay here:

brainly.com/question/14355665

#SPJ1

3 0
2 years ago
75% increase followed by 50% decrease is it greater than to original
IceJOKER [234]

Answer:

  • Set original amount = x

<u>After a 75% increase, it would become</u>

x + 75%x = x + 0.75x = x(1 + 0.75) = 1.75x

<u>After a 50% decrease, it would become</u>

1.75x - 50%(1.75x) = 1.75x - 0.5(1.75x) = 1.75x - 0.875x = 0.875x = \frac{7}{8} x

Because \frac{7}{8} x is less than x, the new amount would be less than the original.

7 0
3 years ago
Simplify 659/8 . What is the answer rounded to the nearest whole number? 82 83 84
fredd [130]
659 divided by 8 = 82 R3.

So the answer is 82.
4 0
3 years ago
Consider angle θ in Quadrant II, where sinθ = 4/5 . What is the value of cosθ?
Kay [80]

Answer:

3/5

Step-by-step explanation:

sin theta=opposite/hypotenuse

4/5=opposite/hypotenuse

therefore opposite=4 and hypotenuse=5

for adjacent

using pythagoras theorem

a^2+b^2=c^2

opposite^2 + adjacent^2 =hypotenuse^2

4^2 + adjacent^2 =5^2

16 + adjacent^2 =25

adjacent^2 =25-16

adjacent =\sqrt{9

adjacent=3

cos theta=adjacent/hypotenuse

=3/5

therefore the value of cos theta is 3/5

8 0
3 years ago
Other questions:
  • A certain drug is made from only two ingredients, there are five milliliters of part a and four milliliters of part b. If a chem
    15·1 answer
  • Find the volume of a triangular prism with the following dimensions. Round to the nearest whole number.
    6·1 answer
  • Can someone help me with my homework it was due last week
    5·1 answer
  • Can somebody please help me with the highlighted question?
    7·1 answer
  • A rectangular garden next to a building is to be fenced on three sides. Fencing for the side parallel to the building costs $60
    9·1 answer
  • Help fast it’s a test
    13·2 answers
  • please help! i will give brainiest Ann​'s car can go miles on gallons of gas. During a drive last​ weekend, used of gas. How far
    13·1 answer
  • What is the the correct equation to find the value of X?
    7·2 answers
  • The following table gives data relating the intensity of exercise on a scale of 0-1 and the pulse rate of the person. If the int
    13·1 answer
  • I tried this and found it really difficult please help
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!