A total of $72,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds is to exceed that in CDs by $9,000, how much will be invested
in each type of investment?

Answers

Answer 1
Let amount in Cd be x dollars. So amount in bonds would be x + 9000.
Given that tots amount is 72000. That is x + x + 9000 = 72000.
So x = CD = $31500
And bonds = 31500 + 9000 = $40500

Related Questions

A liter is a little less than

Answers

Answer:

QUART IS A LITTLE LESS THAN A LITER

Step-by-step explanation:

hope this helps :))

3x^2+x-6
Can you factor this?

Answers

Answer (it stays the same):

[tex]3x^{2} + x - 6[/tex]  

I hope this helps!

URGENT HELP I'M DUMB
if a store sells 4lb or apples for 6 dollars how much for money is it for 1lb of apples

Answers

Answer:

1.5 dollars

Step-by-step explanation:

just divide 6 by 4 lol.I also am bad at math too dw

Answer:

1.50 is my answer that I would put so

A population has a mean of 200 and a standard deviation of 50. Suppose a random sample of 100 people is selected from this population. What is the probability that the sample mean will be within /- 5 of the population mean

Answers

Complete Question

A population has a mean of 200 and a standard deviation of 50. Suppose a random sample of 100 people is selected from this population. What is the probability that the sample mean will be within [tex]\pm 5[/tex] of the population mean

Answer:

The value is  [tex]P(195 <  X  <  205 ) =  0.6827  [/tex]

Step-by-step explanation:

From the question we are told that  

   The mean is [tex]\mu = 200[/tex]

    The population standard deviation is  [tex]\sigma = 50[/tex]

    The sample size is  [tex]n = 100[/tex]

Generally the standard error of sample mean is mathematically represented as

       [tex]s = \frac{ \sigma }{\sqrt{n} }[/tex]  

=>    [tex]s = \frac{50 }{\sqrt{100} }[/tex]  

=>    [tex]s =5[/tex]

Generally the limits of   [tex]\pm 5[/tex]  within  the population mean is mathematically represented as

      [tex]a = \mu - 5[/tex]

=>  [tex]a = 200 - 5[/tex]

=>  [tex]a = 195[/tex]

and

    [tex]b = \mu + 5[/tex]

=>[tex]b = 200 + 5[/tex]

=>[tex]b = 205[/tex]

Generally the probability that the sample mean will be within [tex]\pm 5[/tex] of the population mean is mathematically represented as

         [tex]P(a < X < b ) = P(\frac{a - \mu }{s} < \frac{X - \mu }{s} < \frac{b - \mu }{s} )[/tex]

=>    [tex]P(195 <  X  <  205 ) =  P(\frac{ 195-  200 }{5} < \frac{X -  \mu }{s} < \frac{205 -  200 }{5}  )[/tex]

 [tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>    [tex]P(195 <  X  <  205 ) =  P(-1< Z<1 )[/tex]

=>    [tex]P(195 <  X  <  205 ) =  P(Z <  1)  -  P(Z<-1 )[/tex]

Generally from the  z -table  the probability of  (Z <  1) and  (Z<-1 )  is

     [tex]P(Z < 1)= 0.84134[/tex]

and  

    [tex] P(Z<-1 )   = 0.15866 [/tex]

So

      [tex]P(195 <  X  <  205 ) =  0.84134  -  0.15866  [/tex]

      [tex]P(195 <  X  <  205 ) =  0.6827  [/tex]

When you take samples from a population and compute a proportion from each one, you can consider the distribution of those proportions. This is called the sampling distribution for the population proportion.The Central Limit Theorem tells us that the sampling distribution for the population proportion is

Answers

Answer:

Step-by-step explanation:

This is a fill in the gap question:

The Central Limit Theorem tells us that the sampling distribution for the population proportion is approximately normal with the population proportion as its mean. The theorem of the central limit is a set of results on the weak convergence of a series of random variables in probability. Intuitively, according to these results, any sum of independent and identically distributed random variables tends towards a certain random variable.

Similarly; from the question:

The mean of the sampling distribution is given by [tex]\mathbf{\mu_{\hat p } = p}[/tex]

Suppose p is the population proportion and let say n is the sample size; then :

The standard deviation of the sampling distribution can be represented by :

[tex]\sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n}}[/tex]

13 + ( 4 ÷ 2) × 5 - 17 =? The 4 the number 3 is next to it but it's suppose to look like the small one.

Answers

Answer:

6

Step-by-step explanation:

13 + (4÷2) * 5 - 17

= 13 + 2* 5 - 17

= 13 + 10 - 17

= 23 - 17

= 6

I believe you are talking about exponents.
1^3 (exponent) + (4/2)x 5-17
For this you need to use pemdas
Parentheses ()
Exponents
Multiplication
Division
Addition
Subtraction
If you have two exponent or parentheses you would just do what comes first
The same with multiplication and division. If you have 2(4)+5/2
You would first multiple and then divide
The same with addition and subtraction
But don’t mix addition and subtraction with multiplication and division
So therefore you would do the parentheses first in this problem
4/2=2
So now your problem is
1^3+(2)x5-17
Now you would do exponents
1^3=1
So your equation would be
1+(2)x5-17
Now we would multiply
1x2=2
2x5=10
So now you have
10-17=-7
Hope this helped

Solve the following inequality.
2P - 3 > P + 6

Answers

Answer:

P>9(P is bigger than 9 )

Step-by-step explanation:

2P-P>6+3

P>9

The price of a bicycle was decreased by 40% to £96. What was the price before the decrease? £

Answers

Answer: I think 134.4

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

brainliest will be awarded

Answers

Answer:

-5x+6-3x=22 is x = -2

10-9x+6=34 is x = -2

Step-by-step explanation:

Simplify the expression.
(4х5) (5x6)

Answers

Answer:

600

Step-by-step explanation:

(4x5) x (5x6)

First we solve each expression in the parenthesis. 4x5=20 and 5x6=30. Then, since the parenthesis are placed together, we multiply the two values. 20x30=600.

hope this helped!! <3

Answer:

i think 600

Step-by-step explanation:

w
courses/22406/quizzes/25030/take
OPA
Education Galaxy
D
Ennis 150
Unblocked Games
New tab 4th bone game
1. Francine can decorate 3 cakes in 20
minutes. At this rate, how many cakes can
Francine decorate in one hour?
None of the Above

Answers

Answer:

Francine can decorate 9 cakes in 1 hour.

Step-by-step explanation:

Since there are sixty minutes in an hour, knowing that 20 × 3 = 60, all you have to do is multiply 3 by itself to get 9.

Can you please help me

Answers

Answer:

3. D

4. I

5. E

6. G

7. J

8. B

9. A

10. H

A. K=3/2 and y=15
B. K=1/4 and y=5

Answers

Answer:

A.K= 2/3 Y=15

SORRY I ONLY DID A

3x - 6 = 8x + 14 Please help me and thank you.

Answers

Answer:

x = -4

Step-by-step explanation:

3x - 6 = 8x + 14

-6 = 5x + 14

-20 = 5x

-4 = x

x = -4

How many ways can a store manager arrange a group of 1 team leader and 3 team workersfrom his 25 employees

Answers

Answer:

2300 ways

Step-by-step explanation:

in this problem, we are expected to use commination to arrive at a solution

Given data

number of employee= 25

number of team=3

The expression for combination is given as

C(n,r)=(nr)=n!/(r!(n−r)!)

C(25,3)=25!/(3!(25−3)!)

C(25,3)=25!/(3!(22!)

C(25,3)=25*24*23*22!/3!(22!)

C(25,3)=25*24*23*/3!

C(25,3)=25*24*23*/3*2*1

C(25,3)=25*24*23*/6

C(25,3)=13800/6

C(25,3)=2300 ways

The number of ways where a store manager arranges a group is 50,600.

Given that,

There is a  group of 1 team leader and 3 team workers from his 25 employees.

Based on the above information, the calculation is as follows:

[tex]= ^25C_4 \times 4C_1\\\\= \frac{25!}{4!(25-4)!} \times \frac{4!}{1!(4-1)!} \\\\= \frac{25!}{4! \times 21!} \times \frac{4!}{1! \times 3!} \\\\= 12,650 \times 4[/tex]

= 50,600

Therefore we can conclude that the number of ways where a store manager arranges a group is 50,600.

Learn more: brainly.com/question/16115373

Using exponents, what is the simplified form of 15x6/3x2
F. 5x"
G. 5x3
H. 5x
I. 5

Answers

Answer:

[tex] \frac{15 {x}^{6}}{3 {x}^{2} } = 5 {x}^{4} [/tex]

on a piece of paper graph y≥2x

Answers

Answer:

Step-by-step explanation:

I don't have a graph but I'll tell you how to graph. You have to graph this as an mx+b equation. Since this doesn't have a y-intercept, you'll start at 0 on the graph. Go up 2 times and over to the right 1 time. You should be at (1,2) do the same thing and you should be at (2,4) continue till you run out of the provided space. Now, go back to 0 and complete the part below it. To complete that, from 0, go down 2 times and over to the left 1 time. You should reach (-1,-2) and when you do the same thing again, you should reach (-2,-4) and continue until you run out of space. The coordinates o=in which the line touches should be the opposites of the coordinates above 0. Like (1,2) (-1,-2) and (2,4) (-2,4).

The measures of two vertical angles are 58° and (3x + 4)". Find the value of x.

Answers

Answer:

x = 18°

Step-by-step explanation:

Vertical angles can be defined as a pair of angle formed when two (2) lines intersect. These angles formed during the intersection of the two (2) lines are opposite to each other.

Hence, vertical angles are always equal to one another.

From the question, we have;

58° = (3x + 4)°

Rearranging the equation;

[tex] 3x = 58 - 4[/tex]

[tex] 3x = 54[/tex]

[tex] x = \frac{54}{3}[/tex]

x = 18°

Therefore, the value of x is 18 degrees.

plz help plzzz WILL GIVE BRAINLEST

Answers

Answer:

1.2876 is the answer I got.

The arrow on each of the spinners with be spun one time .which of the following shows all the possible outcome when each spinner is spun once .

Answers

Answer:

Option (2)

Step-by-step explanation:

If we spin spinner 1, the possible outcome on this spinner for a single spin will be either RED (R) or GREEN (G).

Similarly, if we spin spinner 2, possible outcomes for a single spine will be 1 or 2 or 3 or 4.

If we spin both the spinners possible outcomes from both the spinners in a single spin will be,

Red with 1 Or Red with 2 Or Red with 3 Or Red with 4,Or

Green with 1 Or Green with 2 Or Green with 3 Or Green with 4

Symbolically,

R1, R2, R3, R4, G1, G2, G3, G4

Therefore, Option (2) will be the answer.

3. Make Sense and Persevere In the equation
0.755 - s = 44 how do you combine the like
terms?

Answers

Answer:

s = -43.245

Step-by-step explanation:

First, you move the constant to the right:

-s=44-0.755

Calculate:

-s=43.245

Then, you change the signs:

s=-43.245

To explain your reasoning, you can say that:

To add any complex numbers together, you add the constants to each other and the numbers together.

In the equation x/6 = 9 what operation do you need to use to get the
variable x by itself?

Answers

Answer:

Multiplication

Step-by-step explanation:

To get X alone, you multiply by 6 to each side so that the left side cancels out, getting the variable by itself.

The final equation would be X=54.

Answer:

Multiplication

Step-by-step explanation:

You can see there is a division with the 6, and to get rid of 6, you need to multiply it :)

Thirty-six students go on a field trip. The students are divided into groups of 7 students. How many groups of 7 will there be?

Answers

Answer:

There will be 5 full groups of 7 with 1 person left over so you can make it 6 if you want

Step-by-step explanation:

7 times 5 equals 35 plus 1 equals 36

A shoe store provides women’s shoes for sizes 5 to 11. Write a compound inequlity for shoes sizes they do not
provide for.

Answers

Answer: x<5 or x>11

Step-by-step explanation:

HELP PLEASE WILLMARK BRAINLIEST

Answers

B, perpendicular bisector

Answer: D

Step-by-step explanation:

I need help can someone please help me please and thank you ( I’m timed ) !!!

Answers

Answer:

A' (6,-3)

B' (2,-5)

C' (-3,-2)

D' (1,-2)

the sum of 2 numbers is 21 the second number is six times the first

Answers

Answer:

[tex]\huge\boxed{\text{Numbers: 3, 18}}[/tex]

Step-by-step explanation:

We can create two equations and solve the system of equations to find both the numbers. Let's represent the numbers as a and b.

We can create two equations:

[tex]a+b=21[/tex]

[tex]b=6a[/tex]

We can now substitute the value of b (6a) into the first equation.

[tex]a + (6a) = 21[/tex]

Combine like terms:

[tex]7a=21[/tex]

Divide both sides by 7:

[tex]a=3[/tex]

Now we know the first number is 3. We can plug this value into one of the equations to find b. Let's plug it into [tex]b=6a[/tex].

[tex]b = 6 \cdot 3\\\\b = 18[/tex]

So our numbers are 3 and 18.

Hope this helped!

Step-by-step explanation:

We can create two equations and solve the system of equations to find both the numbers. Let's represent the numbers as a and b.

We can create two equations:

a+b=21a+b=21

b=6ab=6a

We can now substitute the value of b (6a) into the first equation.

a + (6a) = 21a+(6a)=21

Combine like terms:

7a=217a=21

Divide both sides by 7:

a=3a=3

Now we know the first number is 3. We can plug this value into one of the equations to find b. Let's plug it into b=6ab=6a .

b=6⋅3

b=18

So our numbers are 3 and 18.

Hope this helped!

For questions 2 and 3. It is known that the mean diameter of pine trees in a national forest is 9.6 (inches) with a standard deviation 2.4 (inches). Assuming that the tree diameters are distributed normally. If a pine tree is to be selected randomly from this forest, what is the probability that its diameter will fall between 7.2 inches and 14.4 inches?

Answers

Answer: 0.8185

Step-by-step explanation:

Let X represents the tree diameters that are distributed normally.

Given: Mean [tex]\mu=9.6\text{ inches}[/tex], Standard deviation  [tex]\sigma=2.4\text{ inches}[/tex]

The probability that its diameter will fall between 7.2 inches and 14.4 inches will be:

[tex]P(7.2<X<14.4)=P(\dfrac{7.2-9.6}{2.4}<\dfrac{X-\mu}{\sigma}<\dfrac{14.4-9.6}{2.4})\\\=P(-1<Z<2)\ \ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=P(Z<2)-P(Z<-1)\\\\=P(Z<2)-(1-P(Z<1))\\\\=0.9772-(1-0.8413)=0.8185\ [\text{By p-value table}][/tex]

Hence, required probability = 0.8185

Triangle PQR is transformed to similar triangle P′Q′R′:


What is the scale factor of dilation?

1 over 2
1 over 3
1 over 4
1 over 5

Answers

Answer:

1 over 2? Not sure though

Step-by-step explanation:

12 coaches and 30 player how many groups can be forms

Answers

Answer:

The biggest number of groups that can be formed is 6, because six is the greatest common factor of 12 and 42. There will be 2 coaches in each group because 6 x 2 = 12 and 7 players in each group because 7 x 6 = 42.

Step-by-step explanation:

hope that helped

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