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3 years ago

Find the interest earned on an investment with a principal = $850, interest rate = 12% per year, and time = 6 months.

Mathematics

1 answer:

Aloiza [94]3 years ago

3 0

12% per year means 6% every6 months
so do 850 × 0.06= 51USD

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The length of the rectangular basketball court is 44 feet more than the width. If the perimeter of the basketball court is 288 f

Temka [501]

Let's first say that L=W+44

and then remember that perimeter is P=2L+2W

replace the L with W+44

we then get P=2(W+44)+2W, now I'll solve it

P=2W+88+2W
P=4W+88

substitute 288 for P

288=4W+88
200=4W
50=W

so now we now how wide the court is. add 44 to find the length which gives you L=94

as always plug the numbers back into your perimeter equation to ensure L and W are correct

8 0

3 years ago

Solve for the variable yx7=35

kakasveta [241]

Well you just say 35 divided by 7 and you get 5
Cause 5 times 7 is 35

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3 years ago

An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s

Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, $s=120\ ft/s$

The height 'h' of the debris above the ground is given as:

$h(t)=-16t^2+120t$

As per question, $h(t)=56\ ft$ . Therefore,

$56=-16t^2+120t$

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

$-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0$

Using quadratic formula to solve for 't', we get:

$t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s$

Therefore, the debris will reach a height of 56 ft twice.

When time $t=0.5\ s$ during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at $t=7\ s$ , the height is 56 ft.

5 0

3 years ago

How do you get the answer 1 and 1/4-3/8

JulijaS [17]

U first find the common denominator which is 8

Then subtract to get 7/8

5 0

3 years ago

Casey buys a bracket for. She pays for the bracelet and pays $0.72 in sales tax. The sales tax is 6%. What is the Original price

iren2701 [21]

Answer:

$12

Step-by-step explanation:

amount of tax = $0.72

percent of tax= 6%

Let the original cost be x

so that

6% of x= 0.72

solve for x

6/100*x= 0.72

0.06x= 0.72

divide both sides by 0.06

x= 0.72/0.06

x=$12

Hence the cost is $12

3 0

2 years ago