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Leto [7]
3 years ago
8

Part A

Mathematics
1 answer:
Dimas [21]3 years ago
7 0
C is the correct answer
You might be interested in
Tamara purchased 1,500 shares of a mutual fund at an offer price of $7.08 per share. Later she sold the investment for $10.02 pe
den301095 [7]

Answer:

Return of investment = 44.5%

Step-by-step explanation:

Number of shares purchased by Tamara = 1500

Offer price per share = 7. 08

Total amount spent on purchasing shares = 1500 × 7.08 = 10620

Dividend receive per share = 0.21

Total dividend received on 1500 shares = no. of shares × dividend received per share

Total dividend received = 1500 × 0.21 = 315

Selling price per share = 10.02

Amount received by Tamara by selling the investment = no. of shares × selling price per share

Amount received by Tamara by selling the investment

= 1500 × 10.02

= 15030

Now, Net profit received on investment = S.P of Investment + Dividend received - C.P of investment

Net profit = 15030 + 315 - 10620 = 15345 - 10620 = 4725

Return on investment = \frac{Net\ profit}{Cost\ of\  investment} \times 100

= \frac{4725}{10620} \times 100 = 44.49%

≈ 44.5 %

6 0
4 years ago
4x - 5y = -28<br>-3x - 2y = 10​
kozerog [31]

Answer:

y=-4/23

im not sure i didn't check (might be wrong)

Step-by-step explanation:

4x - 5y = -28

-3x - 2y = 10​

then make x the same

So

12x-15y=-84

-12x-8y=80

then its left with

-23y=-4

y=-4/23

find x by entering y into -3x - 2y = 10 and solving

8 0
3 years ago
Are 165° and 1965° coterminal?​
MatroZZZ [7]

two angles are coterminal, namely land on the same spot on the circle.

let's check.

let's firstly divide 1965° by 360°, since 360° is a full circle, that way we know <u>how many full circles are</u> in 1965°.

1965 ÷ 360, gives us a quotient of 5 with some remainder.

5 * 360 = 1800, 5 full circles

if we subtract the full circles from 1965

1965 - 1800 = 165

low and behold, the remainder from that division is 165°  ✔

in other words, 1965°, goes around the circle 5 times and then lands 165° after all that, in the same spot as 165°.

5 0
3 years ago
If n is a positive integer and r is the remainder when (n – 1)(n + 1) is divided by 24, what is the value of r?
11Alexandr11 [23.1K]

(1) n is not divisible by 2 --> pick two odd numbers: let's say 1 and 3 --> if , then and as zero is divisible by 24 (zero is divisible by any integer except zero itself) so remainder is 0 but if , then and 8 divided by 24 yields remainder of 8. Two different answers, hence not sufficient.

(2) n is not divisible by 3 --> pick two numbers which are not divisible by 3: let's say 1 and 2 --> if , then , so remainder is 0 but if , then and 3 divided by 24 yields remainder of 3. Two different answers, hence not sufficient.

(1)+(2) Let's check for several numbers which are not divisible by 2 or 3:

--> --> remainder 0;

--> --> remainder 0;

--> --> remainder 0;

--> --> remainder 0.

Well it seems that all appropriate numbers will give remainder of 0.

4 0
4 years ago
Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 16 boxes is selected at random from the product
gtnhenbr [62]

Answer:

The probability that the amount dispensed per box will have to be increased is 0.0062.

Step-by-step explanation:

Consider the provided information.

Sample of 16 boxes is selected at random.

If the mean for 1 hour is 1 pound and the standard deviation is 0.1

1 Pound = 16 ounces , then 0.1 Pound = 16/10 = 1.6 ounces

Thus: μ = 16 ounces and σ = 1.6 ounces.

Compute the test statistic z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}

z=\frac{15-16}{\frac{1.6}{\sqrt{16}}}

z=\frac{-1}{\frac{1.6}{4}}

z=\frac{-1}{0.4}

z=-2.5

By using the table.

P value = P(Z<-250) = 0.0062

Thus, the probability that the amount dispensed per box will have to be increased is 0.0062.

7 0
3 years ago
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