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2 years ago

8

Please answer and explain

2 answers:

irina [24]2 years ago

8 0

Answer:

Step-by-step explanation:

4. 5, equation 38-8=35 35divided by 7 is 5

yarga [219]2 years ago

5 0

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Suppose you would like to save P9000 invested at 8% compounded quarterly for 5 years and 6 months. (Note: Round off your answer

Sever21 [200]

Answer:

a) 13913

b) 4913.82

Step-by-step explanation:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

In this question:

Investment of 9000, so $P = 9000$

Interest rate of 8%, so $r = 0.08$

Compounded quarterly, so $n = 4$

5 years and 6 months, that is, 5 years and half, so $t = 5.5$

(a) How much would the value of her savings at the end of the term?

$A(t) = P(1 + \frac{r}{n})^{nt}$

$A(5.5) = 9000(1 + \frac{0.08}{4})^{4*5.5} = 13913.82$

(b) How much is the interest earned by your savings?

The amount subtracted by the principal. So

13913.82 - 9000 = 4913.82

5 0

3 years ago

James had a business mowing lawns for $25 per lawn and raking leaves for $0.75 per pile. His goal is to earn exactly $37 each ti

Marizza181 [45]

Answer:

Step-by-step explanation:

3 0

3 years ago

Tobeg says the equation 3x + 2y= 270 and y=4/5x + 20 intersect at the point (50,60) is this true how do you know

il63 [147K]

ANSWER

Yes it is very true

<u>EXPLANATION</u>

If the two equations intersect at $(50,60)$ then this point must satisfy the two equations.

$3x+2y=270---(1)$

We substitute $(50,60)$ in to erquation (1)

$3(50)+2(60)=270$

$150+120=270$

$270=270$

$y=\frac{4}{5}x+20 ---(2)$

We now substitute $(50,60)$ in to erquation (2) also

$60=\frac{4}{5}(50)+20$

$60=40+20$

$60=60$

Since the point satisfy all the two equations, it is true that they intersect at $(60,50)$

3 0

3 years ago

Evaluate lim x=π/4(3x - tanx)

Karo-lina-s [1.5K]

Answer:

$\lim_{x \to\frac{\pi }{4} } (3x-tanx)$ = $3(\frac{\pi }{4} )$

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that

$\lim_{x \to\frac{\pi }{4} } (3x-tanx)$

= $\lim_{x \to\frac{\pi }{4} } (3x) - \lim_{x \to\frac{\pi }{4} } tanx)$

= $3(\frac{\pi }{4} )+tan(\frac{\pi }{4} )$

= $3(\frac{\pi }{4} )+ 1 )$

= $3(\frac{\pi }{4} )$

5 0

3 years ago

The length of a rectangle is four feet longer than the width. the area is 21. find the dimension

MakcuM [25]

The length is 7 and the width is 3

7 0

3 years ago