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Margarita [4]
3 years ago
10

Tyler has two savings accounts that his grandparents opened for him. One of accounts pay 7 % annual interest, whereas the other

pays 9 % annual interest. you have $600 more invested 9% then you invested at 7% , how much do you have invested in each account if the total amount of interest you eam in a year is $118
Mathematics
1 answer:
Dafna11 [192]3 years ago
5 0

Answer:

$400 and $1,000

Step-by-step explanation:

Let us assume the x be the amount invested in 7% account

And, 600 + x be the amount invested in 9% account

Now the equation is

7x% + 9%(600 + x) = $118

0.07x + 54 + 0.09x = $118

0.16x = $118 -$54

0.16x = $64

x = $400

And, the other one is = $400 + $600 = $1,000

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Patrick is buying a new pair of shoes. the expression shown below represents the sales tax on the price of the shoes,s.
Murrr4er [49]

Answer:

$=s*1.06  (s+s*.06)

Step-by-step explanation:

You need to multiply be the cost of the shoes (1*s) and the cost of tax (.06) which is the same as multiplying by 1.06

7 0
3 years ago
A bug is moving back and forth on a straight path. The velocity of the bug is given by vt=t2-3t. Find the average acceleration o
g100num [7]

Answer:

2 unit/time²

Step-by-step explanation:

Given the equation:

v(t) =t^2-3t

At interval ; 1, 4

V(1) = 1^2 - 3(1)

V(1) = 1 - 3

V(1) = - 2

At t = 4

V(4) = 4^2 - 3(4)

V(4) = 16 - 12

V(4) = 4

Average acceleration : (final - Initial Velocity) / change in time

Average acceleration = (4 - (-2)) ÷ (4 - 1)

Average acceleration = (4 + 2) / 3

Average acceleration = 6 /3

Average acceleration = 2

3 0
3 years ago
Amanda bought 19 packs of cookies for $22.99 from the supermarket. How many packs of cookies can she buy for $59.29?
lbvjy [14]

Answer:

49

Step-by-step explanation:

1.21 x 49 = 59.29

5 0
2 years ago
If ABC = DEC,<br> B= 44º and E= 4x<br> x= [?]
kolezko [41]

Value of x is 11

Step-by-step explanation:

  • Step 1: Find x when ΔABC ≅ ΔDEC.

When these two triangles are congruent, their corresponding angles and sides will be equal.

⇒ ∠B = ∠E

⇒ 44° = 4x

∴ x = 44/4 = 11

5 0
3 years ago
Read 2 more answers
Solve the system of equations using row operations. Write your answer in the form (x, y).
Sonja [21]

Answer:

(5, - 4 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = - 2 → (1)

3x - y = 19 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate the y- term

9x - 3y = 57 → (3)

Add (1) and (3) term by term to eliminate y

(2x + 9x) + (3y - 3y) = (- 2 + 57), that is

11x = 55 ( divide both sides by 5 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (1)

2(5) + 3y = - 2

10 + 3y = - 2 ( subtract 10 from both sides )

3y = - 12 ( divide both sides by 3 )

y = - 4

Solution is (5, - 4 )

8 0
3 years ago
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