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katovenus [111]

2 years ago

14

She buys packages of 12 trading cards to add to her collection. After she adds 16 packages to her existing collection, she has a

total of 274 cards.
Write a function to model the size of Sabrina’s collection.

Enter the correct equation in the box.

1 answer:

Romashka-Z-Leto [24]2 years ago

6 0

Answer:

x + (12x16) = 274

Step-by-step explanation:

each package = 12

16 packages

16x12= 192

x + 192 = 274

274-192=82

x = 82

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It is estimated that the average amount owed for student loans in 2010 was $25,250 per student. If the interest rate for studen

Nostrana [21]

Given:
loan amount: 25,250
original interest rate: 3.4%
new interest rate: 6.8%
term: 10 years.

Assuming that simple interest formula is used.
I = P * r * t
I = interest
P = principal
r = interest rate
t = term/time

I = 25,250 * 3.4% * 10 years
I = 8,585

I = 25,250 * 6.8% * 10 years
I = 17,170

17,170 - 8,585 = 8,585 Additional interest paid using the new interest rate.

Using an online loan repayment calculator: Here are the following data:
Loan Balance:$25,250.00
Adjusted Loan Balance:$25,250.00Loan
Interest Rate:6.80%
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Minimum Payment:$0.00
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Cumulative Payments:$34,869.23
Total Interest Paid:$9,619.23

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6 0

3 years ago

A 10 ft pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 degree an

mr Goodwill [35]

Answer:

The length of rope is 20.0 ft . Hence, <u>option (1) </u> is correct.

Step-by-step explanation:

In the figure below AB represents pole having height 10 ft and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.

The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.

In right angled triangle ABC with right angle at B.

Since we have to find the length of rope that is the value of side AC.

Using trigonometric ratios

$\sin C=\frac{\text{perpendicular}}{\text{hypotenuse}}$

$\sin C=\frac{AB}{AC}$

Putting values,

$\sin 30^\circ} =\frac{10}{AC}$

We know, $\sin 30^\circ}=\frac{1}{2}$

$\frac{1}{2} =\frac{10}{AC}$

On solving we get,

AC= 20.0 ft

Thus, the length of rope is 20.0 ft

Hence, <u>option (1)</u> is correct.

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Answer:

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3 years ago

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2 years ago

How to solve 2x-1/2=3-x

ValentinkaMS [17]

To solve for x:
Move all the terms containing "x" to the left side of the equation. Do this by adding x to both sides.

2x+x=3x. The new equation is:
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Now, move all terms not containing "x" to the right side of the equation. Do this by adding 1/2 to both sides.
3x=3+1/2 The new equation is:
3x=3 1/2, or 3.5

The final step is to isolate x. To do so, divide each side by 3.
3x/3 = 3 1/2 /3 The new equation is:
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2 years ago