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balandron [24]
3 years ago
9

Blake's car has traveled 100 miles in 1 1/4 hours. How many mules per hour in Blake's car traveling?

Mathematics
1 answer:
n200080 [17]3 years ago
5 0

Answer:

Blake's car would be traveling at 80 mph

Step-by-step explanation:

100/1.25=80

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Two students were asked to find the value of a $1000 item after 3 years. The item was depreciating (losing value) at a rate of 4
Yuki888 [10]

Answer:

<em>Student 2 is incorrect because he didn't use the formula properly</em>

Step-by-step explanation:

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

C(t)=C_o\cdot(1-r)^t

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The initial value of the item is Co=$1000, the rate of decay is r=40%=0.4, and the time is t=3 years.

Substituting into the formula:

C(3)=\$1000\cdot(1-0.4)^3

C(3)=\$1000\cdot0.6^3

C(3)=$216

Student 2 is incorrect because he didn't use the formula properly

8 0
2 years ago
Aubrey invested $61,000 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawa
Hitman42 [59]

Answer: 9.9 years.

Step-by-step explanation:

If interest is compounded continuously, then formula to compute final amount A = Pe^{rt}, where P =initial amount, r= rate of interest , t=time.

Given: P= $61,000, r= 1.9% =0.019  , A = $ 73600

Substitute all values in formula

73600=61000e^{0.019t}\\\\\Rightarrow\ \dfrac{73600}{61000}=e^{0.019t}\\\\\Rightarrow\ 1.20655738=e^{0.019t}

Taking natural log on both sides

\ln (1.20655738)=0.019t\\\\\\ 0.18777116=0.019t\\\\\\ t=\dfrac{0.18777116}{0.019}\\\\\\ t=9.88269263\approx9.9\ \text{years}

Hence, the required time = 9.9 years.

4 0
3 years ago
С
mafiozo [28]

Answer:

x = 12

Step-by-step explanation:

The shape ABCDEF is an irregular polygon.  

The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).  

Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°

So to find the value of x, we need to add together all the interior angles and equal it to 720, then solve for x.

Before we do that, we need to determine angle F.

From inspection, we can see that angle F and 52° are a linear pair.  We know that a linear pair of angles add up to 180°, so F + 52 = 180  ⇒  F = 180 - 52 = 128°

Therefore:

                                           A + B + C + D + E + F = 720

(10x - 5) + 108 + (8x - 3) + (14x - 25) + 133 + 128 = 720

Collect like terms:

10x + 8x + 14x - 5 + 108 - 3 - 25 + 133 + 128 = 720

Combine like terms:

32x + 336 = 720

Subtract 336 from both sides:

32x = 384

Divide both sides by 32:

x = 12

8 0
2 years ago
there are 90 kids in the band. 20% of the kids own their own instruments, and the rest rent them. how many kids own their own in
lawyer [7]

Answer:

18 kids

Step-by-step explanation:

6 0
3 years ago
Which solid has a greater volume?
vivado [14]

Answer:

C

Step-by-step explanation:

When you find the volume for the cone and cylinder they are both 235.62

6 0
3 years ago
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