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ale4655 [162]
3 years ago
7

Sally borrows some money at a 15% interest rate. She repays the loan in full after 30 months and pays $1692 in interest. How muc

h did she borrow?
Mathematics
1 answer:
Tanya [424]3 years ago
3 0

Answer: $4512 was the amount she borrowed.

Step-by-step explanation:

SI = 1692

R = 15% = 0.15

T = 30 months = 2.5 years

SI = PRT

1692 = P x 0.15 x 2.5

1692 = 0.375P

P = 1692 / 0.375

P = 4512

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Explain the steps to finding the vertex of g(x) = 3x2 + 12x + 15
RUDIKE [14]

Answer:

The vertex of this parabola, (-2, 3), can be found by completing the square.

Step-by-step explanation:

The goal is to express this parabola in its vertex form:

g(x) = a\, (x - h)^2 + k,

where a, h, and k are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at (h,\, k).

The vertex form can be expanded to obtain:

\begin{aligned}g(x)&= a\, (x - h)^2 + k \\ &= a\, \left(x^2 - 2\, x\, h + h^2\right) + k = a\, x^2 - 2\, a\, h\, x + \left(a\,h^2 + k\right)\end{aligned}.

Compare that expression with the given equation of this parabola. The constant term, the coefficient for x, and the coefficient for x^2 should all match accordingly. That is:

\left\lbrace\begin{aligned}& a = 3 \\ & -2\,a\, h = 12 \\& a\, h^2 + k = 15\end{aligned}\right..

The first equation implies that a is equal to 3. Hence, replace the "a\!" in the second equation with 3\! to eliminate \! a:

(-2\times 3)\, h = 12.

h = -2.

Similarly, replace the "a" and the "h" in the third equation with 3 and (-2), respectively:

3 \times (-2)^2 + k = 15.

k = 3.

Therefore, g(x) = 3\, x^2 + 12\, x + 15 would be equivalent to g(x) = 3\, (x - (-2))^2 + 3. The vertex of this parabola would thus be:

\begin{aligned}&(-2, \, 3)\\ &\phantom{(}\uparrow \phantom{,\,} \uparrow \phantom{)} \\ &\phantom{(}\; h \phantom{,\,} \;\;k\end{aligned}.

8 0
3 years ago
If D varies directly with t and D is 105 when t is 3, find D when t is 8.
Jet001 [13]
D varies directly with t means
d=kt

105=3k
divide both sids by 3
35=k

d=35t
when t=8
d=35(8)
d=280

B
7 0
3 years ago
Read 2 more answers
Danny poured 78 l of water into containers xy and z. the ratio of the volume of water in container x to the volume of water in c
Paladinen [302]

The ratio of x:y:z = 20:8:11

Total unit = 20+8+11 = 39

Value of 1 unit ratio = 78/39 = 2

So, the water in container X, 20(2) = 40 liters

Your answer is 40 liters

7 0
3 years ago
How do I do this????
castortr0y [4]

Answer:

5.41

Step-by-step explanation:

4 0
3 years ago
What scale factor will dilate circle see to the size of Circle D
nydimaria [60]

Answer:

choice #6)  2/3

5 0
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