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3 years ago

15

Qual sera o valor do juros correspondente a um emprestimo de 15.000 no prazo de 1 ano, 2 meses e 25 dias em uma taxa de juros co

mposto de 2,5% ao mes

1 answer:

artcher [175]3 years ago

7 0

Answer:

470.273

Step-by-step explanation:

Given the following :

Amount of loan = $15,000

Interest rate = 2.5%, compounded monthly

Period = 1 year, 2 months, 25 days

Using the compound interest formula:

A = P(1 + r/n)^(n*t)

A = final amount, p = principal

r = interest rate ; n = number of times Interst is compounded per time period

t = number of time period elapsed

Period = 1 year, 2 months, 25 days since the

Hence, t = 1+(2÷12)+(25÷(30×12))

A = 15000(1 + 0.025 / 12)^(12×1.2361111)

A = 15000(1 + 0.0020833)^14.833333

A = 15000(1.0020833)^14.833333

A = 15000(1.0313515)

A = 15470.273

Hence, Interest equals :

15470.273 - 15,000

= 470.273

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a cereal box is 18 inches by 3 inches by 12 inches. After breakfast, the box is one-third full. How many cubic inches of cereal

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Answer: 216 in ^3

Explanation:

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3 years ago

Let f(x) = - 10x + 9 and g(x) = x2 + 12 <br>Find f( - 4)/g( - 4)

Reptile [31]

Answer:

$\frac{49}{28}$

Step-by-step explanation:

Evaluate g(- 4) and f(- 4) by substituting x = - 4 into g(x) and f(x), that is

f(- 4) = - 10(- 4) + 9 = 40 + 9 = 49

g(- 4) = (- 4)² + 12 = 16 + 12 = 28

Then

$\frac{f(-4)}{g(-4)}$ = $\frac{49}{28}$ = $\frac{7}{4}$

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3 years ago

John bought a video game that was 20% off. The game was originally $30. How much money DID HE SAVE by getting it on sale?

geniusboy [140]

Answer:

$6

Step-by-step explanation:

when you multiply $30 by 20% you get 6. 30-6= $24 after the 20% is taken off, but he saved $6.

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2 years ago

Find the values of x and y

zhuklara [117]

You can use a tangent:

$tangent=\dfrac{opposite}{adjacent}$

We have opposite = 17 and adjacent = x.

$\tan30^o=\dfrac{\sqrt3}{3}$

substitute:

$\dfrac{17}{x}=\dfrac{\sqrt3}{3}$ cross multiply

$x\sqrt3=(3)(17)$ multiply both sides by √3

$x(\sqrt3)(\sqrt3)=51\sqrt3$

$3x=51\sqrt3$ divide both sides by 3

$x=17\sqrt3$

Use the Pythagorean theorem:

$y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34$

-------------------------------------------------------------------------------------------------

Other method.

$30^o-60^o-90^o$ triangle.

The sides are in the ratio $1:2:\sqrt3\to17:y:x$

Therefore

$17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3$

4 0

3 years ago

Use the graph below to fill in the blank with the correct number:

Alik [6]

Let
$A(-3,0) \\ B(-2,2) \\ C(0,1) \\ D(1,-2)$

we know that

Point A
$A(-3,0) \\ for x=-3 \\ f(-3)=0$

Point B
$B(-2,2) \\ for x=-2 \\ f(-2)=2$

Point C
$C(0,1) \\ for x=0 \\ f(0)=1$

Point D
$D(1,-2) \\ for x=1 \\ f(1)=-2$

therefore

the answer is
$f(0)=1$

4 0

3 years ago

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