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Andru [333]
3 years ago
12

____ is the amount of a $3,000.00 annuity due at 12 percent compounded semiannually for 3 years

Mathematics
1 answer:
ANEK [815]3 years ago
3 0
The formula of the present value of annuity due:
PV=C*[\frac{1-(1+i)^{-n}}{i}]*(1+i)

For your case:
C = $3000
i = 12% / 100 = 0.12
n = 3 * 2 = 6 (semiannually for 3 years means 6 payments)

So, the solution is:
PV=3000*[\frac{1-(1+0.12)^{-6}}{0.12}]*(1+0.12)=3000*[\frac{1-0.5066}{0.12}]*1.12=
=3000*[\frac{1-0.5066}{0.12}]*1.12=3000*4.1114*1.12=13814.32
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stiks02 [169]

Answer:

Q2. Original 100%

New Selling price=100% - 25% = 75% of original

Sale price of bracelet= 75/100 × 44 = $33

Q3. 100%- 25%= 75%

Cost of table= 75/100 × 425= $318.75

Alternatively,

Discount= 25/100 × 425 = $106.25

Cost of table= $425- $106.25= $318.75

Q4. 10 cans ---- $4

1 can= 4÷10 = $0.40

15 cans= $0.40 ×15 = $6

Q5. Total number of children= 35+5= 40

Total people= 10+40 = 50

Thus, the ratio is 40:50= 4:5 (<em>divide by 10</em>)

3 0
3 years ago
A bag contains 9 marbles: 4 are green, 2 are red, and 3 are blue. Chris chooses a marble at random, and without putting it back,
Ivahew [28]

Answer:

1/12

Step-by-step explanation:

3/9 for the first

2/8 for the second

3/9= 1/3

2/8= 1/4

1/4 x 1/3= 1/12

4 0
2 years ago
A giraffe can run 32 miles per hour. What is the speed in feet per second? (1 mile = 5280 ft)
velikii [3]

Set up your conversion using dimensional analysis. That's just a fancy way of saying set up your values so you cancel what you don't need and keep what you do. If we want to convert miles per hour to feet per second, we need to convert the miles to feet using the fact that there are 5280 feet in 1 mile, and then convert the hours to seconds using the fact that there are 3600 seconds in an hour. Your set up will look like this (it's all about setting up the fractions correctly): \frac{32miles}{hour}*\frac{5280feet}{1mile}*\frac{1hour}{3600seconds}. If you look at that closely, you can see the there is a label of miles on the top in the first fraction and on the bottom in the second fraction. Those cancel each other out by reducing. Then in the bottom of the first fraction there is hours and in the top of the last fraction there is hours. Those cancel out. From top to bottom or bottom to top you can cancel like labels. This leaves us with feet in the top and seconds in the bottom. Now it's a matter of doing the math. You multiply straight across the top and straight across the bottom. \frac{168960feet}{3600seconds}. Simplifying you get 46.933 feet per second.

4 0
3 years ago
Read 2 more answers
A sphere has a radius of 6. Using 3.14 for pi, what is the volume?
sp2606 [1]

Answer:

v= 904.78

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The number of members over time in an online music sharing club can be modeled by an exponential function. the club started with
Paraphin [41]

Answer:

a.) N(x) =  N_{0} e^{bx}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) The club will not be able to get more than 5000 members during its first year.

Step-by-step explanation:

i) the club started with 2100 members.

  so we can write N_{0} = 2100.

a.) so we can write the equation as an exponential function given by

  N(x) =  N_{0} e^{bx} where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .

 therefore 2142 = 2100 \times (e^{b\times 1}) = 2100e^{b}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) Will the club have more than 5000 members during its first year? Justify your reasoning.

      5000 = 2100e^{0.0198x}

 therefore x  = \frac{1}{0.0198} \ln{(\frac{5000}{2100} )}  =  43.81 \hspace{0.1cm}months

The club will not be able to get more than 5000 members during its first year.

7 0
2 years ago
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