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Naily [24]
2 years ago
7

Please help I am lost

Mathematics
1 answer:
pshichka [43]2 years ago
4 0

Answer:

32 cm

Step-by-step explanation:

There's ALOT of extra info in this pic.

The whole big triangle is a 30°-60°-90° triangle, so the longest side (RT, the hypotenuse) is DOUBLE the shortest side.

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Alexander deposited money into his retirement account that is compounded annually at an interest rate of 7%.
anzhelika [568]
Tow rates are equivalent if tow initial investments over a the same time, produce the same final value using different interest rates.

For the annually rate we have that:
V_{0} =(1+ i_{a} ) ^{1}
Where
V_{0} = initial investment.
i_{a} = annually interest rate in decimal form.
And the exponent (1) represents the full year.

For the quarterly interest rate we have that:
V_{0} =(1+ i_{q} ) ^{4}
Where
V_{0} = initial investment.
i_{q} = quarterly interest rate in decimal form.
And the exponent (4) the 4 quarters in the full year.

Since the rates are equivalent if tow initial investments over a the same time, produce the same final value, then
(1+ i_{a} )=(1+ i_{q} ) ^{4}
Notice that we are not using the initial investment V_{0} since they are the same.

The first thin we are going to to calculate the equivalent quarterly rate of the 7% annually rate is converting 7% to decimal form
7%/100 = 0.07
Now, we can replace the value in our equation to get:
(1+0.07)=(1+ i_{q} ) ^{4}
1.07=(1+ i_{q} ) ^{4}
\sqrt[4]{1.07} =1+ i_{q}
 i_{q} = \sqrt[4]{1.07} -1
i_{q} =0.017
Finally, we multiply the quarterly interest rate in decimal form by 100% to get:
(0.017)(100%) = 1.7%
We can conclude that Alexander is wrong, the equivalent quarterly rate of an annually rate of 7% is 1.7% and not 2%.


6 0
3 years ago
Nancy Grew 4 watermelon Dan grew 2 watermelon how many watermelon did they grow in all<br><br>​
nirvana33 [79]

Answer:

6 watermelon

Step-by-step explanation:

4+2=6

8 0
3 years ago
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schepotkina [342]
6.516 is the number in standard form
5 0
3 years ago
Luke buys shares for £15.26 each they decrease in value by 3.5% work out the new share price
Murljashka [212]

Answer:

New price is $14.73 Per share

Step-by-step explanation:

(1 - 3.5%) × 15.26 = 14.7259

Round to the nearest hundreth

New share price = $14.73

6 0
2 years ago
Which equation represents a proportional relationship?
forsale [732]
Y=4x+1 is the answer to your question
7 0
3 years ago
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