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bekas [8.4K]
2 years ago
11

A financial planner has a client with $15,000 to invest. If he invests $10,000 in a certificate of deposit paying 12% annual sim

ple interest, at what rate does the remainder of the money need to be invested so that the two
investments together yield at least $1550 in yearly
Mathematics
1 answer:
Sveta_85 [38]2 years ago
5 0

In order for the two investments to yield at least $1550, the remainder of the money has to earn an interest of 7%.

<h3 /><h3>Equation that can be derived from the question</h3>

The formula that can be used to determine simple interest is: principal x time x interest rate.

0.12(10,000) + x($5000) = $1550

$1,200 + 5000x = $1550

Where:

x = interest rate paid in the account where $5000 was deposited.

<h3>Determination of the interest rate</h3>

In the above equation, combine similar terms:

$5000x = $1550 - $1200

Add similar terms together

$5000x = $350

Divide both sides of the equation by 500

x = $350 / 5000

x = 0.07

x = 7%

To learn more about simple interest, please check: brainly.com/question/9352088

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Nola purchased 2.5 pounds of cheese for $10.50. Her mother purchased 3 pounds of the same cheese for $12.60. The cost of cheese
jeka94

Answer:

cost per pound = $4.20

Step-by-step explanation:

Cheese cost per pound = ?

first for the cost per pound

cost per pound = total cost / pounds bought

cost per pound = $10.50 / 2.5 pounds

cost per pound = $4.20

to check the above answer is correct

cost per pound = total cost / pounds bought

cost per pound = $12.60 / 3 pounds

cost per pound = $4.20

Therefor, the cheese costs $4.20 per pound.

4 0
3 years ago
WILL GIVE BRAINLIEST<br> Subtract 9x^2+7x-2<br> from 8x-10
konstantin123 [22]

Answer:

x − 9 x ^2 − 8

Step-by-step explanation:

6 0
2 years ago
Can you think of any 2x2 matrices d for which cd = dc for all 2x2 matrices c? give 2 different examples of such matricesd.
Ksju [112]
For any arbitrary 2x2 matrices \mathbf C and \mathbf D, only one choice of \mathbf D exists to satisfy \mathbf{CD}=\mathbf{DC}, which is the identity matrix.

There is no other matrix that would work unless we place some more restrictions on \mathbf C. One such restriction would be to ensure that \mathbf C is not singular, or its determinant is non-zero. Then this matrix has an inverse, and taking \mathbf D=\mathbf C^{-1} we'd get equality.
6 0
3 years ago
Need help on this, need help now D:
baherus [9]

Answer:

\sqrt{34}

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(- 2, 5) and (x₂, y₂ ) = B(3, 8)

d = \sqrt{(3+2)^2+(8-5)^2}

   = \sqrt{5^2+3^2}

   = \sqrt{25+9}

   = \sqrt{34}

5 0
3 years ago
0.6(4-2x)=20.5-(3x+10)
solong [7]

The solution of 0.6(4-2x)=20.5-(3x+10) is x = 4.5

<u>Solution:</u>

Given, expression is 0.6 ( 4 – 2x ) = 20.5 – ( 3x + 10 )

We have to solve the above given equation for x.

Now, take the equation  

\rightarrow 0.6(4-2 x)=20.5-(3 x+10)

We have to use BODMAS rule. BODMAS means sequence of operations which is brackets, order, division, multiplication, addition and then subtraction

On solving the brackets, we get

\rightarrow 0.6 \times 4-0.6 \times 2 x=20.5-3 x-10

Now multiplication is given preference

\rightarrow 2.4-1.2 x=10.5-3 x

\rightarrow 3 x-1.2 x=10.5-2.4

Now subtraction is done

\rightarrow 1.8 \mathrm{x}=8.1

Now division is performed

\rightarrow x=\frac{8.1}{1.8}=4.5

Hence, the value of x is 4.5

5 0
3 years ago
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