In planning her retirement, Liza deposits some money at 3% interest, with twice as much deposited at 5%. Find the amount deposited at each rate if the total annual
interest income is $2080.

Explanation:

Add up those areas to get the final answer

x^2+9x+2x+18 = x^2+11x+18

note the like terms 9x and 2x combine to 11x

Answer:

B (-4)(3) + (-4)(1/4)

Step-by-step explanation:

We must find the product of -4 and 3 1/4, which is (-4)(3 1/4). We know that 3 1/4 = 3 + 1/4, so we substitute that to the expression we want.

(-4)(3 1/4) = (-4)(3 + 1/4)

Using the distributive property, we distribute the -4 to the 3 and the 1/4 and the expression becomes

(-4)(3 + 1/4) = (-4)(3) + (-4)(1/4)

I hope this helps! :)

9514 1404 393

Answer:

  (x, y) = (-7, 5)

Step-by-step explanation:

I find a graphing calculator to be useful for solving equations by graphing. The graph shows the solution to be ...

  (x, y) = (-7, 5)

__

In these equations, the y-coefficients are the same, so we can eliminate y by subtracting the first equation from the second.

  (4x -6y) -(-2x -6y) = (-58) -(-16)

  6x = -42 . . . . . . . . . simplify

  x = -7 . . . . . . . . divide by 6

Substituting into the first equation gives ...

  -2(-7) -6y = -16

  6y = 30 . . . . . . . . . . add 16+6y to both sides

  y = 5 . . . . . . . . .divide by 6

The solution is (x, y) = (-7, 5).

Answer:

5 (cm)

Step-by-step explanation:

1. according to the condition in ΔABC: AC=BC, m∠C=90°. Then m∠B=m∠A=45° and

2. x=AC=AB/√2; ⇔ x=5 (cm).

Answer:

x=5 cm

Step-by-step explanation:

triangle ABC is an isoceles triangle

so BC=AC and angle A=angle B

BC=X and angle A=theta

angle B and angle A both is theta degree because base angles of an isosceles triangle are equal

to find angle A and B

angle A + angle B + angle c=180 degree (sum of interior angles of a triangle)

theta + theta +90=180

2theta=180-90

2theta=90

theta=90/2

theta=45 degree

sin both angle A and angle B are theta their value is 45 degree.

For side x

now using pythagoras theorem

take theta as reference angle

using sin rule

sin 45=opposite/hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex] =x/[tex]5\sqrt{2}[/tex]

[tex]\frac{1}{\sqrt{2} } *5\sqrt{2}[/tex]=x

[tex]\frac{5\sqrt{2} }{\sqrt{2} } }[/tex]=x

5=x

Answer:

27%

Step-by-step explanation:

divide 6 by 22. you get .27 and then you move the decimal point to the right twice

Answer:

27%

Step-by-step explanation:

six divided by twenty two is 0.272, which is 27%

Answer:

324 kilometres

What I did was do 36x10 which is 360

Then I did 360-36=24 because the question wants 9x36 not 10x36

x = 2

Step-by-step explanation:

Since sides have the same base (7), then we can simply write

[tex] {x}^{2} + 11 = 15[/tex]

[tex] {x}^{2} = 4[/tex]

or

[tex]x = 2[/tex]

Answer:

the minimum is 0 and the maximum is 16.

Step-by-step explanation:

For a function f(x), the maximum is defined as:

f(xₐ)

such that:

f(xₐ) ≥ f(x) for every value of x in the domain.

And the minimum is:

f(xₙ)

Such that:

f(xₙ) ≤ f(x)

for every value of x.

Now, in this case we have the function:

f(x) = (-x + 2)^4 in the range  0 < x < 3

First, let's analyze our function.

We can see that the exponent is even, then:

f(x) = (-x + 2)^4

Can be equal to zero or larger than zero.

Then the minimum will be f(x) = 0

To find this, we need to find the value of x such that:

-x +2 = 0

2 = x

Then the minimum is:

f(2) = (-2 + 2)^4 = 0

For the maximum, we can just play with the other values in the range and see which one gives the larger value of f(x).

Again, because f(x) =  (-x + 2)^4 , the maximum will be at the value of x such that:

|-x + 2| is maximized.

As we have a negative sign multiplying x, the smaller value in the range:

x = 0

is the one that maximizes that:

|-0 + 2| = |2| = 2

Evaluating f(x) in x = 0 we get:

f(0) = (0 + 2)^4 = 16

Then the minimum is 0 and the maximum is 16.

Answer:

I need to know what the radius or diameter is to answer this question

= x² - 4x + 58 - 23 = 0

= x² - 4x + 35 = 0

Sorry but it cann't be solved more futher.

= 16 × 2 + 56 + 2√4

= 32 + 56 + 2√4

= 88 + 2√4

Answer:

mEOP is 29°

Step-by-step explanation:

mHOP is 48° and mHOE is 19°, so to get the missing angle you subtract the smaller value from the total to get 29°

- 19-48=29

Answer:

C and D

Step-by-step explanation:

The data is represented in a box plot given. In a box plot, the min, max, median, Q1, and Q3 are displayed.

If you want to measure the center of the data, you can make use of the median.

Also, an appropriate measure of spread to use is the interquartile range.

Interquartile range = Q3 - Q1.

Better measure of center to use is Mean while better measure of spread is interquartile range.

The correct options for measures of center and spread for the data set is option C and D

The measures of center of data include the mean, median and mode.

The measures of spread include range, mean deviation, variance and standard deviation.

The give dat is a box plot where the min, max, median, Q1, and Q3 are shown.

The best measure of the center of the data, is the median.

The appropriate measure of spread is the interquartile range.

In conclusion, the more appropriate measures of center and spread for the data set is median and interquartile range respectively.

Learn more measures of center and spread at: https://brainly.com/question/10252810

#SPJ5

Answer:

value of 4 in 543007 is 40,000 bc it falls in the 10,000 spot.

Answer:

28 minutes

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

so it is 28 minutes

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

it would be d because that's where the 3 is in the y axis

Answer:

A

Step-by-step explanation:

Graph A shows the parabola intersecting the x-axis at 1 and 3. Which are the solutions to the equation when you solve it by factoring, using the quadratic formula, the PQ formula, or completing the square.

Answer:12 yes 14 no 16 yes

Step-by-step explanation:its hard to explain

just plug the value in

12.

17 + 5 < 13

22 < 13

false

14.

10/2>6

5>6

false, you are correct

16.

-5 =< 0

it just has to be less OR equal

so it's true, it is a solution

Step-by-step explanation:

It's an intercept graph

Answer:

5196

Step-by-step explanation:

So it's 5040+(-156)

We have to find the absolute value

|-156|=156

5040+156=5196

Answer:

5196 m

Step-by-step explanation:

The sea is level = 0

If Punack Jaya, is 5040 m above sea level then it would be = + 5040 m

If Lake Assal is 156 m below sea level then it would be = - 156 m

The difference between the two elevations:

= 5040 - (-156)

= 5040 + 156 --> two negatives create a positive

= 5196 m

Answer:

I dont know

Step-by-step explanation:

Answer:

Maybe. But look at me, I have two F's and all D's in the last quarter when I had A's a B's and one C for the 1st, 2nd, and 3rd quarter. I am going to get kicked out if I have ONE F. Yay.... :,)

Step-by-step explanation:

Answer:

[tex]p=0.5[/tex]

Step-by-step explanation:

A standard die has six numbers (1 through 6). That means there is a 1/6 probability of rolling any one number. There is a 3/6 probability of rolling one of the selected numbers which simplifies to 1/2 or 0.50

the answer would be A.) C+15

Step-by-step explanation:

7 + 2x + 3 = x + 10

2x - x = 10 - 7 - 3

x = 0

What?

I don't think this helps...

Answer:

x = 0.

Step-by-step explanation:

The distance between  the point U and W are x + 10 and 2x + 3 + 7 so we can make the following equation:

x + 10 = 2x + 3 + 7

x + 10 = 2x + 10

Subtract 10 from both sides:

x = 2x

Subtract x from both sides:

0 = x

x = 0

Answer:

8

Step-by-step explanation:

by definition:

[tex]log_an=16\\\\log_a\sqrt{n}=log_a n^{\frac{1}{2}}=\frac{1}{2}log_a n=\frac{1}{2}(16)=8[/tex]

Answer:

a) Sample space = RR, RB, RG, RY, BB, BR, BG, BY, GG, GR, GB, GY, YY, YR, YB, YG .

probability distribution of outcomes

= (3/14*3/14),  (3/14*4/14),  (3/14*4/14),  (3/14*3/14),  (4/14 *4/14 ), (4/14*3/14), (4/14 * 4/14),  (4/14 * 3/14 ),  ( 4/14 *4/14 ),  (4/14*3/14),  ( 4/14 *4/14 ),  

(4/14*3/14),   (3/14 *3/14 ), (3/14*3/14),  (3/14 *4/14 ), ( 3/14 * 4/14 )

b)  0.0459

c) ( 3/14 * 4/14 ) + ( 3/14 * 4/14 ) + ( 3/14 * 3/14 ) + ------ ( 3/14 * 4/14 )

Step-by-step explanation:

Total number of balls = 3 + 4 + 4 + 3 = 14 balls

3 Red balls = 3/14

4 blue balls  = 4/14

4 green balls = 4/14

3 yellow balls = 3/14

a) Determine the sample space and probability distribution of outcomes

since ball is drawn with replacement

Sample space = RR, RB, RG, RY, BB, BR, BG, BY, GG, GR, GB, GY, YY, YR, YB, YG .

i.e. The sample space has 16 possible combination

probability distribution of outcomes

= (3/14*3/14),  (3/14*4/14),  (3/14*4/14),  (3/14*3/14),  (4/14 *4/14 ), (4/14*3/14), (4/14 * 4/14),  (4/14 * 3/14 ),  ( 4/14 *4/14 ),  (4/14*3/14),  ( 4/14 *4/14 ),  

(4/14*3/14),   (3/14 *3/14 ), (3/14*3/14),  (3/14 *4/14 ), ( 3/14 * 4/14 )

b) Determine  P( R and R )

P ( R and R ) = 3/14 * 3/14

                    = 9/196 =  0.0459

C) Determine probability of drawing two different balls

P( R and B ) + P ( R and G ) + P ( R and Y ) + ------ P ( Y and G )

= ( 3/14 * 4/14 ) + ( 3/14 * 4/14 ) + ( 3/14 * 3/14 ) + ------ ( 3/14 * 4/14 )

Answer:

56 dollars

Step-by-step explanation:

idfk 56 dollars is the answer tho

Answer:

19

Step-by-step explanation:

-9b -5 -7b = -309

-16b - 5 = -309

16b = 309 - 5

16b = 304

b = 304 ÷ 16

b = 19

Answer:

25%

Step-by-step explanation:

We can also show this from the results table below: There are 8 possible outcomes for tossing three coins. Two of these outcomes are either all heads or all tails, Therefore there is a 28=14=0.25=25% chance of getting all heads or all tails.

Answer:

First image:

C, D, and E are true.

Second image:

30 tbsp

Step-by-step explanation:

1 cup = 8 ounces

A is false.

1 quart = 4 cups

7 qt = 28 cups

28 + 4 = 32

32 < 34

B is false.

1 gallon = 8 pints

4 gallons = 32 pints

31 < 32

C is true.

1 gallon = 4 quarts

5 gallons = 20 quarts

20 < 21

D is true.

1 quart = 2 pints

15 quarts = 30 pints

30 = 30

1 ounce = 2 tablespoons

15 ounces = y tablespoons

[tex]\frac{1}{2}: \frac{15}{y}[/tex]

1 × y = 15 × 2

y = 30

30 tbsp

Step-by-step explanation:

l hope it helps mark the brainliest plzz

Answer:

option c is correct

Step-by-step explanation:

(3x^2 + 3)(4 + x^3)

=3x^2(4 + x^3) +3(4 + x^3)

=12x^2 + 3x^5 +12 +3x^3

=3x^5 + 3x^3 + 12x^2 + 12