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Darina [25.2K]
3 years ago
9

Dante wants to buy a new sound system for his room. He borrows $500 from his older sister and agrees to pay her 6% simple annual

interest. How much interest will Dante owe at the end of 3 years?
Mathematics
2 answers:
NemiM [27]3 years ago
8 0
0.18 6%*3= 0.18 is the answer 
deff fn [24]3 years ago
6 0

Answer:   $90

Step-by-step explanation:

The formula we use to find the simple interest is given by :-

I=Prt, where P is the principal amount ,r is the rate of interest ( in decimal) and t is the time period ( in years).

Given : Dante borrows $500 from his older sister and agrees to pay her 6% simple annual interest.

i.e. P=$500     ;   r=6%=0.06

Now, the simple interest Dante will owe at the end of 3 years will be :-

I=500\times0.06\times3=90

Hence, Dante will owe $90 as interest at the end of 3 years.

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If X=5 and 5=y, then x=y <br> Ar algebraic equality property justifies the above statement?
RUDIKE [14]

Answer:

Yes.

Step-by-step explanation:

According to the Transitive property of the Algebraic properties of equality, two values are said to be equal is they are differently equal to a corresponding third party. This is, If a=b and b=c then a=c.

Hence, if x=5 and 5=y, then following the transitive property of Algebraic properties of equality, x=y, hence the Algebraic property of equality Justifies the statement.

3 0
3 years ago
Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
dedylja [7]

g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).

Which means that our equation for f(x) is:

\large{f(x) = x}

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

\large{f(x + k) = x + k }\\  \large{g(x) = x + k}

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

\large{g(x) = x + 4}

Answer

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3 0
3 years ago
Whoever gets this right gets brainlyess answer and it's worth 10 points :)
Lunna [17]
60% = 0.6
12 / 0.6 = 20

answer 12 is 60% of 20

8 0
3 years ago
They pay $18 for 12 dozen buttons. How much do 4 dozen buttons cost.
Anika [276]

Answer:

72

Step-by-step explanation:

because if you add 18, 4 times or 18 x 4 it will give your 72

hope this helps

4 0
2 years ago
Please show how you got the answer, thanks.
FrozenT [24]

Answer:

15.7 feet

Step-by-step explanation:

What we are looking for here is the perimeter/circumference of the table. The formula for the circumference of a circle is diameter x pi. The diameter is 2x the radius so I did 5 x 3.14, 3.14 being in place for pi. Hope this helps! : )

5 0
3 years ago
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