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gayaneshka [121]
3 years ago
5

Tuition at Lukedale College costs $6,860 this year. Jasper earned a dance scholarship that will cover 25% of the cost. How much

money will the dance scholarship cover?
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
8 0

Answer:

$1715

Step-by-step explanation:

You have to find out what 25% of $6,860 is, which is the same as dividing the total by 4, since 1/4 = 25%. So,

$6,860/4=$1715

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Which linear inequality represents the solution set graphed?
postnew [5]

Answer:

Correct option is C

Step-by-step explanation:

First, find the equation of the boundary line. This line passes through the points (0,-3) and (-2,1). Then it has equation

\dfrac{x-0}{-2-0}=\dfrac{y+3}{1+3},\\ \\4x=-2(y+3),\\ \\y=-2x-3.

In the attached diagram this boundary line is solid, then the sign of the inequality should be with "or equal to" notion (≤ or ≥). Thus, options A and B are false.

The line divides the coordinate plane into two parts and you have to determine which part to choose. The origin does not lie in the shaded region, then its coordinates cannot satisfy the inequality. Check options C and D.

0\le -2\cdot 0-3\ (0\le -3) - origin does not satisfy (option C is correct);

0\ge -2\cdot 0-3\ (0\ge -3) - origin satisfies (option D is false).

4 0
3 years ago
Whatever, Inc., has a bond outstanding with a coupon rate of 5.74 percent and semiannual payments. The yield to maturity is 6.1
sveta [45]

Answer:

current market price of the bond is $958.73

Step-by-step explanation:

given data

coupon rate = 5.74 percent

yield to maturity = 6.1 percent

bond matures = 20 years

future value = $1,000

solution

we get here PMT that is

PMT =  1,000 × 5.74% ÷ 2 ...............1

PMT = $28.70

and Number of Periods is

NPER = 20 years × 2 = 40  semi-annual periods

and here Rate of interest will be =  6.1% ÷ 2 = 3.05%

and we use here formula that is

= -PV(Rate;NPER;PMT;FV;type)

so we get

current market price of the bond is $958.73

7 0
3 years ago
HELP ME PLEASE I WILL GIVE LOTS OF POINTS THANK YOU SO MUCH
Step2247 [10]

Answer: 42

Step-by-step explanation:

2(5x-3)=9x+3\\10x-6=9x+3\\x-6=3\\x=9

m\angle VST=5(9)-3=42^{\circ}

5 0
2 years ago
Suppose it snowed 5 inches in 2 days. Then 5/2 describes the average daily snowfall. Write the improper fraction as a mixed numb
cricket20 [7]

Answer:

5/2 = 2 1/2

Step-by-step explanation:

There are 2 parts in one half, meaning 2 halves equals 1.

If you have 5 halves, you of course would get an improper fraction.

To find the answer, dive the numerator by the denominator. 5 ÷ 2 gives you 2.5, or 2 1/2.

Think about it this way: How many times does will 2 go in to 5 evenly? Twice. 2 times 2 is 4, leaving you with one left over. Whatever the remainder is, is the numerator for the improper fraction, and the denominator stays the same.

6 0
3 years ago
A 15-foot flagpole leans slightly, such that it makes an 80° angle with the ground. The shadow of the flagpole is 10 feet long w
Naya [18.7K]

Answer:   48°

<u>Step-by-step explanation:</u>

The shadow is the adjacent side and the length of the flag is the hypotenuse

cos\ \theta=\dfrac{adjacent}{hypotenuse}\\\\\\cos\ \theta=\dfrac{10}{15}\\\\\\cos^{-1}(cos\ \theta)=cos^{-1}\bigg(\dfrac{10}{15}\bigg)\\\\\\.\qquad \qquad \boxed{\theta=48^o}

5 0
3 years ago
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