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mr_godi [17]
3 years ago
13

Could someone help me understand how to solve this? I'm having trouble with it, it's about Applications of Systems of Linear Equ

ations.

Mathematics
1 answer:
Anna35 [415]3 years ago
3 0

Answer:

Therefore the amount in the 4% savings account = $550

Step-by-step explanation:

i) the total amount = $1500

ii) let the amount placed in the 4% interest savings account = x

iii) let the amount placed in the 5% interest savings account  = y

iv) therefore fro i) we can say  x  +  y = 1500

v) the total interest gained = $69.5

vi) therefore we can write 0.04x + 0.05y = 69.50

vii) multiplying equation vi) with 100 we get 4x + 5y = 6950

viii) Multiplying the equation in iv) by 5 we get 5x + 5y = 7500

ix) Subtracting equation in vii) from equation in viii) we get x = $550

x) Therefore the amount in the 4% savings account = $550

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What is the recursive rule for the following sequence: -9, -2, 5, 12, ….
tino4ka555 [31]

Answer:

The answer is option (C)=an-1+7

Step-by-step explanation:

A recursive rule is a formula that in which each term is expressed as a function of its preceding term(s), meaning in order to get to the nth term you have to express it in a form of the term that comes before it. In our case the a(n-1) term

So for the sequence -9, -2, 5, 12

The nth term is any number on the sequence and

  • -2 is the a(n-1) term for -9
  • 5 is the a(n-1) term for -2
  • 12 is the a(n-1) term for 5

So we need to find out what we have to do to the preceding term to get the next.

To get -2 from -9 we have to add 7 to -9; -9+7=-2

To get 5 from -2 we have to add 7 to -2; -2+7=5

To get 12 from 5 we add 7 to 5; 7+5=12

So the recursive rule would be= a n-1+7

5 0
3 years ago
Debit cards and credit cards look the same. However, they work very differently. Which statement is true about debit cards? A)mo
crimeas [40]
A. Money is taken from you bank account.
7 0
3 years ago
Read 2 more answers
The area of a square rug can be represented by the expression 100x^2+60x+9. Write an expression to represent the length of each
Ganezh [65]
ANSWER:

square root of ( 100x^2 + 60x + 9 )

An expression to represent the length of each side of the rug is:
square root of ( 100x^2 + 60x + 9 )

STEP-BY-STEP EXPLANATION:

Let's establish that the area of a square is the length of one of its sides squared.

Area of square = Side^2

THEREFORE:

To find the length of each side of the square, we will make side the subject in the formula as displayed below.

Area of square = Side^2

Side^2 = Area of square

Side = square root of ( area of square )

From this, we will substitute the given expression for the area of the square rug to obtain the expression for the length of each side of the rug.

Side = square root of ( 100x^2 + 60x + 9 )
7 0
3 years ago
Read 2 more answers
The music for Jordyn’s dance routine lasts for exactly 4 minutes.  When Jordyn dances her routine, she starts with her music and
Liono4ka [1.6K]
<h3>Answer:</h3>

95%

<h3>Step-by-step explanation:</h3>

4 minutes is 4×(60 seconds) = 240 seconds.

The amount of dance time is (240 -12) seconds = 228 seconds.

The percentage of music time spent dancing is ...

... (228 seconds)/(240 seconds) × 100% = 95%

6 0
3 years ago
Solve: a + 4 = 48<br> a = 43<br> a = 51<br> a = 44<br> a = 52
andrew11 [14]

Answer:

a = 44 is correct

Step-by-step explanation:

a + 4 = 48

plug in the #'s 1 at a time

43 + 4 = 48

47 = 48  FALSE

51 + 4 = 48

55 = 48  FALSE

44 + 4 = 48  TRUE

52 + 4 = 48  FALSE

Hope this Helps!!!

5 0
3 years ago
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