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MariettaO [177]
3 years ago
5

F(1) = 1² +21 g(t) = 41-3 Find f(t) + g(t)

Mathematics
1 answer:
Stels [109]3 years ago
7 0

Answer:

60

Step-by-step explanation:

f(t)+g(t)=(1^2+21)+(41-3)=1+21+38=22+38=60

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A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and diameter of t
docker41 [41]

Answer:

See below ~

Step-by-step explanation:

<u>Things to Find</u>

  1. Volume of Toy
  2. Difference of Volumes in Cube and Toy
  3. Total Surface of Toy

<u>Volume of Toy</u>

  • Volume of Hemisphere + Volume (Cone)
  • 2/3πr³ + 1/3πr²h
  • 1/3πr² (2r + h)
  • 1/3 x 3.14 x 16 (8 + 4)
  • 1/3 x 50.24 x 12
  • 50.24 x 4
  • <u>200.96 cm³</u>

<u></u>

<u>Volume of Circumscribing Cube</u>

  • Edge length is same as diameter
  • V = (8)³
  • V = 512 cm³

<u>Difference in Volume</u>

  • 512 - 200.96
  • <u>311.04 cm³</u>

<u></u>

<u>Slant height of cone</u>

  • l² = 4² + 4²
  • l² = 32
  • l = 4√2 cm = 5.6 cm

<u />

<u>Surface Area of Toy</u>

  • CSA (hemisphere) + CSA (Cone)
  • 2πr² + πrl
  • πr (2r + l)
  • 3.14 x 4 (8 + 5.6)
  • 12.56 x 13.6
  • <u>170.8 cm²</u>
3 0
2 years ago
If you deposit $25,000 now at 6.5% compounded quarterly, how much will you have in 30 years?
Mice21 [21]

Answer:

$172,984.44

Step-by-step explanation:

We can use the formula

A = P(1 + \frac{r}{n})^{nt} to compute the final amount

Here P is the principal amount, the original deposit = $25,000

r is the annual interest rate = 6.5% = 0.065 in decimal

n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year

t is the number of time periods ie 30 years

A is the accrued amount ie principal + interest

Computing different components,

nt = 4 \times 30 = 120

r/n =  0.065/4 = .01625

1 + r/n = 1.01625

(1 + r/n)^{nt} = 1.01625^{120}

Therefore

A = 25000 \times 1.0625^{120} = 172,984.44


4 0
2 years ago
Michelle pays $66.85 for a costume pattern and 8 yards of fabric. The costume pattern cost $4.85 how much does each yard of fabr
kogti [31]

Answer:

I got $7.75.

Step-by-step explanation:

66.85-4.85=62

62/8=7.75.

7 0
3 years ago
what is the answer for this question and can tell me how to do this problem too. 791 + 11 &gt; 959 − 13
kompoz [17]

Answer:

The question is false

Step-by-step explanation:

4 0
3 years ago
the total cost of a new autombile, including a 4% sales tax on the price of the automobile, is $28,835. how much of the total co
Feliz [49]

Sales tax is $1153.40

7 0
3 years ago
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