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Maksim231197 [3]
3 years ago
5

Julie buys 8.2 pounds of pears for $16. About how much do they cost per pound?

Mathematics
1 answer:
bekas [8.4K]3 years ago
5 0

Answer:

0.51 per pound

Step-by-step explanation:

8.2/16 = 0.5125

about 0.51

<em><u>The Kid Laroi</u></em>

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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
Please help explanation if possible
poizon [28]

Step-by-step explanation:

Hi there!

The given equation is:

y = -2x + 5………………(i)

Comparing the equation with y = mx+c, we get;

m1 = -2

Also another equation of the line which passes through point (-4,2), we get;

(y-2) = m2(X+4)............(ii) { using the formula (y-y1) = m2(x-x2)}

According to the question, they are perpendicular to eachother, So according to the condition of perpendicular lines;

m1*m2 = -1

-2*m2 = -1

or, m2 = 1/2.

Therefore, m2= 1/2.

Now, keeping the value of m2 in equation (ii).

(y-2) = 1/2(x+4)

y = (1/2)x + 4

Therefore, the required equation is: y = (1/2)x + 4.

<u>Hope</u><u> it</u><u> helps</u><u>!</u>

3 0
3 years ago
Someone help me pleasd
Dennis_Churaev [7]

OWO

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7 0
3 years ago
Which of the following measurements could be the side lengths of a right triangle?
notsponge [240]
The answer should be C but I’m not for sure ask your teacher sorry!!
6 0
3 years ago
Read 2 more answers
What is the answer to number 11 plz show your work
photoshop1234 [79]
54x+14= 43x+36
54x-43x= 36-14
11x = 22 /11
X =2

54*2+14 -= 122
Both the same
And the other are 180-122 = 58

3 0
3 years ago
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