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Ahat [919]
3 years ago
14

Help! I need help with these two questions (10 points each!)

Mathematics
1 answer:
Alex73 [517]3 years ago
8 0

Answer:

see image...

the (x-h) shifts the curve left right (east west)

and the +k at the end shifts it up/down (north/south)

Step-by-step explanation:

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Felipe borrowed $8000 at a rate of 16.5%, compounded monthly. Assuming he makes no payments, how much will he owe after 7 years?
Gelneren [198K]

Answer:

$25,193.17

Explanation:

Given:

• Principal Felipe borrowed, P=$8000

,

• Annual Interest Rate, r=16.5%=0.165

,

• Compounding Period, k=12 (Monthly)

,

• Time, t=7 years

We want to determine how much he will owe after 7 years.

In order to carry out this calculation, use the compound interest formula below:

A(t)=P\mleft(1+\frac{r}{k}\mright)^{tk}

Substitute the values defined above:

A(t)=8000\mleft(1+\frac{0.165}{12}\mright)^{12\times7}

Finally, simplify and round to the nearest cent.

\begin{gathered} A(t)=8000(1+0.01375)^{84} \\ =8000(1.01375)^{84} \\ =\$25,193.17 \end{gathered}

After 7 years, Felipe will owe $25,193.17.

3 0
1 year ago
Chloe and Libby want to tie Ryan to a bunch of approximately spherical helium balloons of diameter 0.3m. The volume of each ball
dem82 [27]

Answer:  Aproximately 2,525 balloons

Step-by-step explanation:

 1. Find the volume of a balloon with the formula given in the problem, where r is the radius (r=\frac{0.3m}{2}=0.15m), then:

V=4(0.15m)^{3}=0.0135m^{3}

2. Convert the volume from m³ to lliters by multiplying it by 1,000:

V=0.0135m^{3}*1000=13.5L

3. You know that that 1 liter of helium can lift 1 gram and that Ryan weighs 5 stone and 5 pounds. So you must make the following conversions:

1 g=0.0022 lb

From 5 stones to pounds

(5stone)(\frac{14pounds}{1stone})=70pounds=70lbs

4. Then Ryan's weigh is:

5lb+70lb=75lb

5. Then, if 1 liter of helium can lift 0.0022 lb, to lift 75 lb (which is the weight of Ryan) they need:

\frac{75lb*1L}{0.0022lb}=34,090.90L

6. Then, to calculate the aproximated number of balloons they need to make him float (which can call n), you must  divide the liters of helium needed to lift the weight of Ryan by the volume of a balloon, then the result is:

n=\frac{34,090.90L}{13.5L}

n=2,525.25≈2,525 balloons.

5 0
3 years ago
The shadow of a 5-foot tall post is 10 feet long. at the same time, a tree casts a shadow that is 22 feet long. what is the heig
FromTheMoon [43]
Because the shadow doubled, the tree is actually only 11 FEET TALL.
3 0
3 years ago
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Which of the following would be a better buy than purchasing 4 mangoes for $16?
Evgen [1.6K]
What are the options uh??
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3 years ago
What is the probability that an offspring will have a homozygous dominant genotype?
Anton [14]

Answer:

The probability is 1/2% or 50%

Step-by-step explanation:

3 0
3 years ago
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