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larisa86 [58]
2 years ago
7

From the beginning of the day the temperature rose 15° so that by 4 pm it was 87°. what was the temperature at the start of the

day?
Mathematics
1 answer:
katrin [286]2 years ago
3 0
The temp started at 72 degrees
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$13,168is invested, part at 13%and the rest at
Kryger [21]

Answer: the amount invested at 13% is $9748

the amount invested at 5% is $3420

Step-by-step explanation:

Let x represent the amount invested at 13%.

Let y represent the amount invested at 5%.

$13,168 is invested, part at 13 % and the rest at 5%. This means that

x + y = 13168

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

Considering the amount invested at 13%,

P = x

R = 13%

T =1 year

I = (x × 13 × 1)/100 = 0.13x

Considering the amount invested at 5%,

P = y

R = 5%

T = 1 year

I = (x × 5 × 1)/100 = 0.05y

If the interest earned from the amount invested at

13% exceeds the interest earned from the amount invested at

5% by $1438.24, it means that

0.13x - 0.05y = 1438.24 - - -- - - - - -1

Substituting x = 13168 - y into equation 1, it becomes

0.13(13168 - y) - 0.05y = 1438.24

1711.84 - 0.13y - 0.05y = 1438.24

- 0.13y - 0.05y = 1438.24 - 1711.84

- 0.08y = - 273.6

y = - 273.6/- 0.08

y = 3420

x = 13168 - y = 13168 - 3420

x = 9748

7 0
3 years ago
pens and pencils are sold in a shop. 12 pencils cost £1.80. the ratio of the cost of a pen to the cost of a pencil is 7: 3. work
luda_lava [24]

Answer:

£2.10

Step-by-step explanation:

1.80 divided by .12 = .15

.15 times 7 = 1.05

1.05 divided by 3 = .35

.35 times 5 = 2.10

8 0
2 years ago
What is the answer to this math question
Vilka [71]

(19 {b}^{3}  + 16 {f}^{3} ) \times 2 {b}^{5}  = 38 {b}^{8}  + 32 {b}^{5}  {f}^{3}
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2 years ago
A33 =<br> 1<br> 6<br> 8<br> Please help.
Firdavs [7]

Answer:

Need more information

Step-by-step explanation:

4 0
3 years ago
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Four friends went scuba diving today Ali dove 70 feet Tim went down 50 feet Carlton dove 65 feet and Brenda reach 48 feet below
ira [324]
By death i think you mean depth. So the lowest number should be the closest to the surface. From closest to farthest it is, Brenda, Tim, Carlton, then Ali. Hope this helps! ;)
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