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2 years ago

Please PLEASE HELPPP!!!!!!

Mathematics

1 answer:

Afina-wow [57]2 years ago

6 0

Answer:

5/2

Step-by-step explanation:

10 multiplied by 5/2 gives us 25, so the scale factor is 5/2.

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You invested money in two funds. Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you receiv

Angelina_Jolie [31]

You invested 11000 in in 2st fund and 9000 in 2nd fund

<h3><u>Solution:</u></h3>

Given that, You invested money in two funds.

Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you received a total of $1330.

This year, the first fund paid a 12% dividend and the second only 2%, and you received a total of $1500.

Let the amount in Fund I be $x and amount in Fund II be $ y

Then, for last year ⇒ 0.08x+0.05y=1330 ----- eqn (1)

And for this year ⇒ 0.12x+0.02y=1500 ------- eqn (2)

Multiply (1) by 2 ⇒ 0.16 x + 0.1 y = 2660

Multiply (2) by 5 ⇒ 0.6 x + 0.1 y = 7500

Subtract the two equations

(2) ⇒ 0.6x + 0.1y = 7500

(1) ⇒ 0.16x + 0.1y = 2660

(-) --------------------------------

0.44x + 0 = 4840

x = 11000

Now, from eqn (2)

0.12(11000) + 0.02y = 1500

0.02y = 1500 – 1320

0.02y = 180

y = 9000

Hence, he invested 11000 in in 2st fund and 9000 in 2nd fund

5 0

2 years ago

Item 4 Evaluate 8x−y2−3 when x=−1/4 and y=3 .

iren2701 [21]

8(-1/4)-(3)2-3=-2-6-3=-11

8 0

2 years ago

Read 2 more answers

How long will it take to have R30 000 for a trip to Europe if I invest R20 000 now at 15% per year, compounded quarterly?

maw [93]

<span>Compound interest formula</span>

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

Where

<span>
A= Future value
P = the Principal (the initial amount of money)
r = annual interest rate</span>

t = time

<span>n= number of times compounded in one t

Remark
----------------------------------------------------------------------------------

r is generally a percentage like 3%, 7% etc and are applied in the formula as 0.03, 0.07...,

the interest is compounded generally annually (n=1), quarterly (n=4), monthly (n=12), etc...

t is in years,

In our problem:

</span>

A= 30 000

P =20 000

r = 15%=0.15

time = t = ?

n= 4

applying the formula:

$A=P(1+ \frac{r}{n} )^{nt}\\\\30,000=20,000(1+ \frac{0.15}{4} )^{4t}\\\\ \displaystyle{\frac{30,000}{20,000} =(1.0375)^{4t}$

$\displaystyle{ 1.5={(1.0375^4)}^t\\\\$

$1.5=1.159^t\\\\ \displaystyle { t=log_{1.159}1.5=2.75$

75% of 12 months is 3/4 of 12 months, which is 9 months

Answer: 2 years, 9 months

3 0

3 years ago

Which of the following polynomial functions is graphed below? OA. f(x) = (x - 2) ^ 2 * (x + 3) * (x - 1) O B. f(x) = (x + 2) ^ 2

laila [671]

The function of the polynomial is (b) $f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)$