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9966 [12]
2 years ago
8

Ethan deposited $198 in an account that earns 2.5% annual interest. He wants to buy a sound system that sells for $210. Will he

have enough money in the account at the end of one year? Explain.
Mathematics
1 answer:
marishachu [46]2 years ago
5 0
Yes he will have enough money.

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A 32 foot ladder is leaning against a building and forms a 29.37 angle with the ground how far away from the building is the bas
BARSIC [14]

Answer:

the base of the ladder is 27.89  ft away from the building

Step-by-step explanation:

Notice that this situation can be represented with a right angle triangle. The right angle being that made between the ground and the building, the ladder (32 ft long) being the hypotenuse of the triangle, the acute angle of 29.37^o being adjacent to the unknown side we are asked about (x). So, we can use the cosine function  to solve this:

cos(\theta)=\frac{adjacent}{hypotenuse} \\cos(29.37^o)=\frac{x}{32\,\,ft}\\32 \,\,cos(29.37^o)\,\,ft=x\\x=27.887\,\,ft

which rounded to the nearest hundredth gives;

x = 27.89  ft

6 0
2 years ago
Read 2 more answers
Amy and two of her friends eat lunch at a restaurant. Their bill, including tax, comes to $27.63. They decide to split the bill
Art [367]

Answer:

Step-by-step explanation:

$27.63 / 2 = $13.82

$13.82 * 0.20 = $2.76

$13.82 + $2.76 = $16.58

6 0
2 years ago
Laura's gross annual salary is $44184. What is the maximum amount of rent she can afford to pay?
fgiga [73]
D is the answer I believe it is.
6 0
2 years ago
A grocery sold 5kg of wheat flour at Rs30 per kg and gained 20%. If he had sold it at Rs27 per kg, what would be his gain or los
maria [59]

Answer:

His gain percent would have been 8%

Step-by-step explanation:

The key to answering this question is to first calculate the price at which the wheat flour was bought.

Mathematically;

% profit = (selling price-cost price)/cost price * 100%

Let the cost price be $x

Thus;

% profit = (30-x)/x * 100

20 = 100(30-x)/x

20x = 3000-100x

100x + 20x = 3000

120x = 3000

x = 3000/120

x = Rs 25

So let’s assume he sold at Rs 27

His profit would have been 27-25 = 2

His gain or loss percentage would’ve been;

2/25 * 100/1 = 200/25 = 8% (gain, since selling price is greater than the cost price)

3 0
2 years ago
John painted his most famous work,in his country,in 1930 on composition board with perimeter 103.48 in. If the rectangular paint
Alexxandr [17]

Answer:

Width =22.955 in

length =28.785 in

Step-by-step explanation:

let width=x

painting is 5.83 in taller than it is wide

length =x+5.83

Perimeter of rectangle =2 (length+width)

Perimeter of painting =103.48

2(x+x+5.83)=103.48\\2x+5.83=51.74\\2x+51.74-5.83\\2x=45.91\\x=\frac{45}{2} \\x=22.955

width =x=22.955 in

length =x+5.83=22.955+5.83=28.785 n

5 0
2 years ago
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