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solmaris [256]
2 years ago
14

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Mathematics
1 answer:
azamat2 years ago
4 0

By the Pythagorean theorem,

a^{2}+12^{2}=13^{2}\\\\a^{2}+144=169\\\\a^{2}=25\\ \\ a=\boxed{5}

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If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193 how much was your original deposit? 29 Origin
Wittaler [7]

Answer:

The original amount deposit is $1641627.68.

Step-by-step explanation:

Given : If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193.

To find : How much was your original deposit?  

Solution :

Applying interest formula,

A=P(1+r)^t

Where, A is the amount i.e. A=$3783193

P is the principal value i.e. the original deposit

r is the interest rate r=11%=0.11

t is the time t=8 years.

Substitute the value in the formula,

3783193=P(1+0.11)^8

3783193=P(1.11)^8

3783193=P\times 2.30

P=\frac{3783193}{2.30}

P=1641627.68

Therefore, The original amount deposit is $1641627.68.

3 0
2 years ago
A store uses the expression -2p+ 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere
Ivan

Answer:

B: $12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.

Step-by-step explanation:

3 0
2 years ago
Jina got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store
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Answer:

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Step-by-step explanation:

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4 1/6 + 5 2/3Enter your answer as a mixed number in simplest form
galina1969 [7]

Answer:

Step-by-step explanation:

First, change the mixed numbers into improper fractions:

5 2/3 = 17/3

Then, find the common denominator:

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41/6 + 34/6

Last, Add

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I think the answer would be 2.05 because 6.15/3 is 2.05
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