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sveticcg [70]
1 year ago
15

a bookshelf is 14 inches wide.there is enough space to fit 2 trophies one trophy is 2 inches wider than the other. how wide is t

he wider trophy
Mathematics
2 answers:
Orlov [11]1 year ago
5 0
The answer is 9 because half of 14 is 7, and 7+2=9
VashaNatasha [74]1 year ago
4 0
The correct answer is 9
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Sonny deposited $8,500 in an account that earns 4% simple interest. If Sonny makes no more deposits or withdrawals, then how muc
SashulF [63]

Answer: $680.00

Step-by-step explanation:

Principal= 8500

Rate= 4%

Time= 2 years

Interest= (Principal×Rate×Time)/100

= (8500×4×2)/100

= 68000/100

= $680

The interest is $680

5 0
1 year ago
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A bottle of white wine at room temperature (68°f) is placed in a refrigerator at 4 p.m. its temperature after t hr is changing a
Nat2105 [25]
After an hour (4pm to 5pm) the temperature drops 18e⁻⁰˙⁶=9.9℉, so the temperature after an hour will be 68-9.9=58.1℉.
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1 year ago
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World wind energy generating1 capacity, W , was 371 gigawatts by the end of 2014 and has been increasing at a continuous rate of
Sunny_sXe [5.5K]

Answer:

a) W(t) = 371(1.168)^{t}

b) Wind capacity will pass 600 gigawatts during the year 2018

Step-by-step explanation:

The world wind energy generating capacity can be modeled by the following function

W(t) = W(0)(1+r)^{t}

In which W(t) is the wind energy generating capacity in t years after 2014, W(0) is the capacity in 2014 and r is the growth rate, as a decimal.

371 gigawatts by the end of 2014 and has been increasing at a continuous rate of approximately 16.8%.

This means that

W(0) = 371, r = 0.168

(a) Give a formula for W , in gigawatts, as a function of time, t , in years since the end of 2014 . W= gigawatts

W(t) = W(0)(1+r)^{t}

W(t) = 371(1+0.168)^{t}

W(t) = 371(1.168)^{t}

(b) When is wind capacity predicted to pass 600 gigawatts? Wind capacity will pass 600 gigawatts during the year?

This is t years after the end of 2014, in which t found when W(t) = 600. So

W(t) = 371(1.168)^{t}

600 = 371(1.168)^{t}

(1.168)^{t} = \frac{600}{371}

(1.168)^{t} = 1.61725

We have that:

\log{a^{t}} = t\log{a}

So we apply log to both sides of the equality

\log{(1.168)^{t}} = \log{1.61725}

t\log{1.168} = 0.2088

0.0674t = 0.2088

t = \frac{0.2088}{0.0674}

t = 3.1

It will happen 3.1 years after the end of 2014, so during the year of 2018.

7 0
1 year ago
Wynn needs to find the center of the data set shown on the dot plot. The dot plot has dots. The dot plot has dots to the left of
Arisa [49]

Answer:

The dot plot has  22

dots.

The dot plot has   11

dots to the left of the

center and   11

dots to the right of the center.

The center of the data set is  

between 2 and 3

.

Step-by-step explanation:

6 0
1 year ago
If the area of the rectangle is given by the polynomial 2x^2-7x-15, what is the dimension of the reactangle in terms of x?​
Irina18 [472]

Answer:

  • x - 5 and 2x + 3

Step-by-step explanation:

<h3>Given</h3>
  • Area of rectangle = 2x^2 - 7x - 15
<h3>To find</h3>
  • Dimensions of rectangle
<h3>Solution</h3>

<u>Since the area is the product of the sides, let's try to factorize the given:</u>

  • 2x^2 - 7x - 15=
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  • 2x(x - 5) + 3(x - 5) =
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<u>So the dimensions are:</u>

  • x - 5 and 2x + 3

4 0
1 year ago
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