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mezya [45]
3 years ago
7

mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8%. if he leaves the money in the accounts for

the same length of time, how long must he leave it to gain 5600 in interest​
Mathematics
1 answer:
frez [133]3 years ago
6 0

mark must leave it for 5.5 months or 5 and half moths to gain 5600 in interest​ .

<u>Step-by-step explanation:</u>

Here we have , mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8%. if he leaves the money in the accounts for the same length of time, We need to find how long must he leave it to gain 5600 in interest​ . Let's find out:

Let mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8% for time x months , So total interest gain is 5600 i.e.

⇒ \frac{8000(12)}{100}(x) +\frac{2000(8)}{100}(x) =5600

⇒ \frac{8000(12)+2000(8)}{100}(x) =5600

⇒ (80(12)+20(8))(x) =5600

⇒ (960+160)(x) =5600

⇒ (1020)(x) =5600

⇒ x =\frac{5600}{1020}

⇒ x =5.5

Therefore , mark must leave it for 5.5 months or 5 and half moths to gain 5600 in interest​ .

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Simplify the ratio : 72:16:32<br> What is ans
ArbitrLikvidat [17]

Answer:

9 : 2 : 4

Step-by-step explanation:

Given

72 : 16 : 32 ( divide each part of the ratio by 8, the LCM of 72, 16, 32 )

= 9 : 2 : 4

6 0
3 years ago
⦁ Find the distance between the two numbers
Sedaia [141]

The distance bewtween -12 and 19 is 31

and -2 -7 is 5

and then 25 and -1 is 26


3 0
3 years ago
PLEASE HELP FIRST ONE GETS IT
Anna [14]

Answer:x=-1

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To solve 6-3+4x+1=

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5 0
3 years ago
I need to find AB and DE​
MatroZZZ [7]

Answer:

AB = 21 and DE = 23

Step-by-step explanation:

Given 2 intersecting chords inside the circle then

The products of the measures of the parts of one chord is equal to the products of the measures of the parts of the other chord, that is

x(x + 13) = (x + 10)(x + 1) ← distribute parenthesis on both sides

x² + 13x = x² + 11x + 10 ← subtract x² + 11x from both sides

2x = 10 ( divide both sides by 2 )

x = 5

Hence

AB = x + 10 + x + 1 = 2x + 11 = (2 × 5) + 11 = 10 + 11 = 21

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4 0
3 years ago
Farmer brown picked some oranges ,he gave 3/8 to John and 2/3 of the remainder to steve if steve received 75 oranges how many or
Wittaler [7]
We know that 75 equals 2/3 of the remainder
which means 1/3 of the remainder is equal to 75/2 (37.5)
if 1/3 equals 37.5 then 3/3 (or all of the remainder) is equal to 3*37.5 (112.5)
We know that the remainder equals 5/8 of the oranges since
8/8-3/8= 5/8
We know that 112.5= 5/8, which mean 1/8 is equal to 112.5/5 (22.5) and that 8/8 or the total number of oranger equals 22.5*8 (180)

RESULT:
180 oranges

3 0
3 years ago
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