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Igoryamba
2 years ago
6

)

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
6 0

Answer:8

Step-by-step explanation:

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Elizabeth had 12 stamps. she decided to write letters to some of her relatives. after she sent her letters, she had 4 stamps lef
mr_godi [17]
She sent 8 letters 12-4=8
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Find the value of c, rounded to the nearest tenth <br> A. 11<br> B. 14.3<br> C. 37.6<br> D. 7.4
Helga [31]

Answer:

D. The correct value of  c  = 7.4

Step-by-step explanation:

According to Tangent-Secant theorem:

"When a tangent and a secant are drawn from one single external point to a circle, square of the length of tangent segment must be equal to the product of lengths of whole secant segment and the exterior portion of secant segment."

Here, the external length of tangent segment = 10

Also, the length of internal segment  is 14 and c.

So, by the SECANT THEOREM:

(10)^2  = 14 \times c\\\implies c = \frac{100}{14} = 7.14

or, c  = 7. 1428

Now, rounding off the value of c = 7. 14 to the nearest tenth, we get

c = 7. 4

Hence the correct value of  c  = 7.4

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3 years ago
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Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account
Diano4ka-milaya [45]

Answer:

\$180.55

Step-by-step explanation:

step 1

<u><em>Simple interest</em></u>

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04

substitute in the formula above

A=2,250(1+0.04*10)

A=2,250(1.4)

A=\$3,150

step 2

<u><em>Interest compounded annually</em></u>

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1

substitute in the formula above

A=2,250(1+\frac{0.04}{1})^{1*10}  

A=2,250(1.04)^{10}  

A=\$3,330.55

step 3

Find the differences between the two final amounts

A=\$3,330.55-\$3,150=\$180.55

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What plus what would equal 3744
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ELRIS COMEBACK 26/02

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/14 /14 divide by 14 on both sides of the

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n=-9

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