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cluponka [151]
3 years ago
6

I need help with this math problem ASAP plsssss helppp. The problem is attached below

Mathematics
1 answer:
PolarNik [594]3 years ago
7 0

Answer:

234.67 in³

Step-by-step explanation:

volume of full sphere = 4/3(π)(r³) = 4/3(3.14)(5³) = 523.33 in³

volume of half sphere = 523.33/2 = 261.67 in³

volume of cube = LWH = 3³ = 27 in³

261.67 - 27 = 234.67 in³

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The value of a vintage car over time is represented by the function V(t)=24,300(1.37)t , where t is the time in years. What is t
Nimfa-mama [501]

Answer:

For the function V(t)=24300(1.37)t, the rate of increase is 37%.  

Step-by-step explanation:

The function represents the value (V) of the car over time (t).  This type of function is exponential growth, which means for each year, the value of the vintage car will increase by a rate of 37%.  Exponential growth functions are represented by the equation f(x)=ab^x, where 'a'=initial value, 'b'=the rate and 'x' represents time.  In this case, our initial value of the car is $24,300 and the rate is 1.37.  A rate of 1.37 indicates that the car will retain its initial value (1) as well as increase be an additional 37 percent (.37) over time.  

7 0
3 years ago
It's a simple graphing problem I guess
Alex777 [14]
Answer: unidentifiable Explanation: y intercept is 0
4 0
3 years ago
A local store is advertising a shirt on sale for 40% off the original price. The sale price is $21.00. What was the original pri
pishuonlain [190]

Answer:

  $35

Step-by-step explanation:

If $21 is 60% of the original price, then the original price is ...

  21 = 0.60p

  21/0.60 = p = 35

The original price is $35.00.

8 0
3 years ago
How long does it take $500 to double at a simple interest rate of 24%?
yuradex [85]

Answer:

4 years and 2 months

Step-by-step explanation:

<u>Simple interest formula</u>

A = P(1 + rt)

where:

  • A = final amount
  • P = principal amount
  • r = interest rate (in decimal form)
  • t = time (in years)

Given:

  • A = $500 × 2 = $1,000
  • P = $500
  • r = 24% = 0.24

Substitute the given values into the formula and solve for t:

\implies \sf 1000 = 500(1 + 0.24t)

\implies \sf \dfrac{1000}{500}=(1 + 0.24t)

\implies \sf 2=1 + 0.24t

\implies \sf 1 = 0.24t

\implies \sf t=\dfrac{1}{0.24}

\implies \sf t=4 \frac{1}{6} \:years

\implies \sf t=4\:years\:2\:months

Therefore, it takes 4 years and 2 months for the initial investment of $500 to double at a simple interested rate of 24%.

3 0
2 years ago
A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year
Andru [333]

Answer:

y = 18 * 1.15^x

Step-by-step explanation:

Given

a = 18 --- initial

r =15\% -- rate

Value after a year = $20.70

Required

Expression to calculate its value after y years

This is calculated using:

y = ab^x

Where

b=1 +r

Substitute r =15\% in b=1 +r

b = 1 + 15\%

b = 1 + 0.15

b = 1.15

Substitute b = 1.15 and a = 18 in y = ab^x

y = 18 * 1.15^x

5 0
3 years ago
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