A mother wants to invest $6000 for her children's education. She invests a portion of the money in a bank certificate of deposit (CD account) which earns 4% and the remainder in a savings bond that earns 7%. If the total interest earned after one year is $360, how much money was invested at each rate?

Answers

Answer 1

Answer: 0.04x+0.07(6000-x)=360
0.04x+420-0.07x=360
0.04x-0.07x=360-420
−0.03x=−60
X=60/0.03=2,000 at 4%
6000-2000=4000 at 7%

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If apple=5, orange=6 and strawberry=10 then banana=?

Answers

Answer:

Step-by-step explanation:

The number corresponds with how many letters there are in a word. In this case, banana has 6 letters.

Answer:

The answer is 6

Step-by-step explanation:

They are counting the nuber of letters in the word apple has 5, orange has 6, and strawberry has 10. Banana has 6 B-A-N-A-N-A.

The augmented matrix of a consistent system of five equa- tions in seven unknowns has rank equal to three. How many parameters are needed to specify all solutions?

Answers

Answer:

It is necessary four parameters.

Step-by-step explanation:

Since the augmented matrix of the consistent system has rank equal to three then the number of free variables is (number of unknows)-rank then there are 7-3=4 free variables. This means that are necessary four parameter to specify all solutions.

What is the least What is the least common multiple of four and 12

Answers

Answer: LCM(4,12) = 12

Step-by-step explanation:

This of this as singing all the multiples of 4

4, 8, 12.

4 + 4 + 4.

Answer:

Step-by-step explanation:

All possible random samples of 200 middle managers are selected from a population for a study concerning their mean annual income. The population standard deviation is computed to be $2,248.5. What is the standard deviation of the sampling distribution of the means?

Answers

Answer:

158.993

Step-by-step explanation:

We have to find the standard deviation of the sampling distribution of the means.

We are given that population standard deviation=σ=2248.5 and sample size=n=200.

Standard deviation of sampling distribution of means=σxbar=σ/√n

σxbar=2248.5/√200

σxbar=2248.5/14.1421

σxbar=158.993

Thus, the standard deviation of the sampling distribution of the means is $158.993.

Can someone please help me :)

Answers

Answer:

90 degree

Step-by-step explanation:

Three points A, B, and C are added and shown in attached picture.

As the property of inscribed angle in circle:

angle BAC = (1/2) x 88 = 44 deg

As the property of complement angle:

angle ABC = 180 - 89 = 91 deg

As the property of sum of three angles in a triangle:

angle ACB + angle ABC + angle BAC = 180 deg

=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg

One more time, we use the property of inscribed angle in circle:

x = 2 x angle ACB = 2 x 45 = 90 deg

Hope this helps!

A red die is tossed and then a green die is tossed. What is the possibility that the red die shows a six or the green die shows a six?

Answers

The two events are independent of each other.

This means that:

$\text{Pr}(\text{red 6}) = \text{Pr}(\text{green 6})$
$\text{So total probability is: } \text{Pr}(\text{red 6}) + \text{Pr}(\text{green 6}) = (2)/(6) = (1)/(3)$

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