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uranmaximum [27]
2 years ago
15

I really need help also if you could expalin it that would help alot! ABC=DBC, AB=10 AC=7 DC=?

Mathematics
2 answers:
tiny-mole [99]2 years ago
5 0

Answer:

Pretty sure DC is also 7.

Step-by-step explanation:

The triangle seems equal on both sides so if AC = 7, then DC = 7.

likoan [24]2 years ago
4 0

Answer:

DC= 7

Step-by-step explanation:

ΔABC≅ΔDBC

AB=DB

BC=BC and

CA=CD

given AB= 10

AC= 7

DC= AC =7

so DC will be 7

hope it helps

have a great day!!

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To solve this we are going to use the future value of annuity due formula: FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]
where
FV is the future value
P is the periodic deposit 
r is the interest rate in decimal form 
n is the number of times the interest is compounded per year
k is the number of deposits per year

We know for our problem that P=420 and t=15. To convert the interest rate to decimal form, we are going to divide the rate by 100%: r= \frac{10}{100} =0.1. Since Ruben makes the deposits every 6 months, k=2. The interest is compounded semiannually, so 2 times per year; therefore, k=2.
Lets replace the values in our formula:

FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]
FV=(1+ \frac{0.1}{2} )*420[ \frac{(1+ \frac{0.1}{2})^{(2)(15)}-1 }{ \frac{01}{2} } ]
FV=29299.53

We can conclude that the correct answer is <span>$29,299.53</span>
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