PLEASE HELP
Interest rates have dropped steadily over the last six months. Each month they have decreased by 1/4 point.
A. Write an expression to represent the total change of rates over the last six months.
B. Find the total change. Make sure to express your answer as a mixed number in lowest terms.​

Answers

Answer 1
A. Let the Initial Interest rate = x
It is given that each month Interest rate decreases by 1/4 point. Let total change of rate over the last six month= y
y = 6 x -x/4
y = -1.5x

B. Total Change
= (-1.5x-x)/(6-1)
= -2.5x/5
= -0.5x
= -5x/10
= -x/2

Related Questions

Find the slope of the line that passes through the points (5,10) and (7,12).

Answers

Answer:

The slope of the line is 1. The equation of the line is 1x + 5.

Step-by-step explanation:

The process is simple. It is y2 - y1 over x2 - x1. Plug in the value of the coordinates to get 12 - 10 over 7 - 5. That leaves you with 2 over 2, which is 1. If you need the equation, it is 1x + 5. Plug in the value of the coordinates to check your work.

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.51 and a standard deviation of 0.44. Using the empirical rule, what percentage of the students have grade point averages that are no more than 2.07? Please do not round your answer.

Answers

Answer:

15.87%

Step-by-step explanation:

Given that :

Mean (m) = 2.51

Standard deviation (σ) = 0.44

Percentage of students with grade point average no more than 2.07

Using the relation :

Zscore = (X - mean) / standard deviation

X = 2.07

Zscore = (2.07 - 2.51) / 0.44

Zscore = - 0.44 / 0.44

Zscore =. - 1

P(Z < - 1) : using the z table

P(Z < 1) = 0.1587

Hence, Percentage of students with grade point average no more than 2.07 is (0.1587 * 100%) = 15.87%

Order the events from least likely (on top) to most likely (on bottom).

Answers

Answer:

so, look at the percentage, since -20 is lower, it is least likely, next is  10%, next s the 30% and last, the 4/5th. 4/5 simplified is 80% or 80 out of 100

Step-by-step explanation:

Answer:Greatest to least.

4/5

30%

10%

-20

Step-by-step explanation:

A square plaza at a train station has a side length as shown. Which expression represents the area of the plaza in square meters?

2x + 6
x2 + 9
6x + 9
x2 + 6x + 9

Answers

here's the answer hope this helps :)

Answer:

D. x2 + 6x + 9

Step-by-step explanation:

For anyone who didn't understand the above answer^^

wich of the following is a factor of x^4-8x^2+16

Answers

Answer:

(x-2)^2 x (x+2)^2

Step-by-step explanation:

Lee has decided to build a shed on a square concrete slab. The shed has the same width, w,as the slab. Its length is 2 m shorter than the width of the slab .

a) What is an expression for the area of the shed?

Answers

Answer:

w * w+2 = area of the shed

Step-by-step explanation:

Well you just do the width times the width plus two. (please Brainliest)

Which line is perpendicular to a line that has a slope of One-half?

line AB
line CD
line FG
line HJ

Answers

Answer:

D

Step-by-step explanation:

Answer:

HJ

Step-by-step explanation:

NEED HELP ASAP, MARKING BRAINLIEST.

Solve for the value of x that makes lines r and s parallel.

Answers

Answer:

Step-by-step explanation:

y + 140 = 180       {linear pair}

        y = 180 - 140

        y = 40

If any pair of exterior angles are congruent , then the lines  r and s will be parallel

5x - 5 = 40

     5x = 40 + 5

     5x = 45

       x = 45/5

x = 9

The value of x = 9  will make lines r and s parallel.

11037







































have fun figuring out what i mean

Answers

Answer:

????????????????????

Answer:

I think 11037 is a clue to tell what the murder is

Step-by-step explanation:

Diana is buying plates and cups for a party. She wants the same number of each. Plates are sold in packs of eight and cups are sold in packs of 12. What is the least number of plates and cups she can buy? How many packs of plates? How many packs of cups? Explain how you know.

Answers

Answer:

What is the least number of plates and cups she can buy?

The least number of cups of plates and cups she can buy is 24

How many packs of plates?

3 packs of plates

How many packs of cups?

2 packs of cups

Step-by-step explanation:

What is the least number of plates and cups she can buy?

We solve this using the Lowest Common Multiple method

The L.C.M of 8 and 12

Multiples of 8: 8, 16, 24, 32, 40

Multiples of 12: 12, 24, 36, 48

Therefore,

LCM(8, 12) = 24

Hence, the least number of cups and plates she can buy is 24

How many packs of plates?

Plates are sold in packs of eight

Hence: 24 ÷ 8 = 3 packs of plates

How many packs of cups?

Cups are sold in packs of 12

Hence: 24 ÷ 12 = 2 packs of cups

I dont understand this, plz help, will mark Branliest!

Solve for x: −3|x + 7| = −12 (2 points)

x = 5 over 3 , x = − 19 over 3
x = −3, x = −11
x = −3, x = 11

Answers

X will equal 11

Work:
-3(x+7)=-12
-3x - -21= -12
-21 + -12= -33
-33/-3 = 11

Which two ratios form a proportion?
3:4 and 6:12
3:4 and 9:15
3:4 and 12:18
3:4 and 15:20

Answers

Answer:

3:4 and 15:20

Step-by-step explanation:

The answer is the fourth one because 3:4 and 15:20 are equivalent, so there's your answer. Hope it helps!

20 POINTS!! HELP ME PLZZ I NEED HELP WITH THIS!!

Answers

Answer:

0.22222222

Step-by-step explanation:

Hope this helps!!!

Answer:

0.22222222

Step-by-step explanation:

you have to divide 2 by 9.

-1/3(x-15)=-4 what is the correct sequence of operations

Answers

Answer:

x = 3

Step-by-step explanation:

The steps I show will be listed from first-to-last.

-1/3x + 5 = -4 (Distribute)

-1/3x = -9 (Subtract 5 from both sides)

x = 3 (Multiply both sides by -3)

Does the graph show a proportional
relationship? If so, use the graph to find
the constant of proportionality.

Answers

Answer:

yes. y-=25x

Step-by-step explanation:

Answer:

its 40

Step-by-step explanation:

Please help!
Each of these is a pair of equivalent ratios, for each pair explain why they are equivalent. 5:1 and 15:3
10.2 and 25.5
198:1,287 and 2:13

Answers

Answer:

the best way I can explain this is that you have to simplify and you get the other ratio. think of them as fractions.

What is a closed line of credit?
a.
A line of credit with a set maximum credit limit.
b.
A line of credit with no interest rate.
c.
A line of credit with a fixed total amount.
d.
A line of credit with a legally mandated repayment schedule.

Answers

Answer:

c.  A line of credit with a fixed total amount.

Step-by-step explanation:

EDGE 2020

Answer:

C. A line of credit with a fixed total amount.

Step-by-step explanation:

What is 4 divided by 3/5

Answers

Answer:

20/3 or 6 2/3

Step-by-step explanation: 4/1 times 5/3           multiply and you get 20/3

Answer:

6 2/3

Step-by-step explanation:

Which describes the graph of y=(x-5)^2 -4

Answers

Answer:

Use semi-log paper for plotting Y = log y instead of y against x.

The graph is the straight line Y = (log 2) x + log 5.

Explanation:

y is function of the form

b

a

x

.

Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.

Here, taking logarithms,

Y = log y = log 5 + x log 2.= m x + c.

Slope

d

Y

d

x

is log 2 and Y-intercept is 5 on the log scale.

Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y.

Step-by-step explanation:

y is function of the form

b

a

x

.

Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.

Here, taking logarithms,

Y = log y = log 5 + x log 2.= m x + c.

Slope

d

Y

d

x

is log 2 and Y-intercept is 5 on the log scale.

Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y

Answer:

Opens up with a vertex at (5,-4)

Step-by-step explanation:

A student solved the equation below using the steps shown, rounding to two decimal places if necessary.

which step contains the first mistake ?

A. step 2

B. step 1

C. step 3

D. step 4

Answers

Answer:

Step 1

Step-by-step explanation:

A ball is thrown strait up from the top of a 64 foot tall building with an initial speed of 48 feet per second. The height of the ball as a function of time can be modeled by the function h(t)=-16t^2+48t+64. At what other time will the ball be at a height of 64 feet? How long will it take for f ball to reach its maximum height? What is he maximum height reached by the ball? How long willlit take for the ball to hit the ground?

Answers

Answer:

see below

Step-by-step explanation:

h(t)=-16t^2+48t+64

Find when h(t) = 64

64 = -16t^2+48t+64

Subtract 64 from each side

0 =  -16t^2+48t

Factor

0 = -16t( t-3)

Using the zero product property

-16t =0    t-3 =0

t=0 and t=3

Other than at t=0,  so at t=3 seconds

How long will it take for f ball to reach its maximum height?

Find the vertex

t = -b/2a = -48 / ( 2 * -16) = -48/ -32 = 1.5 seconds

It will reach the maximum height at 1.5 seconds

What is the maximum height reached by the ball?

The height will be

h(1.5) = -16*(1.5)^2+48(1.5)+64

       = -36+72+64

       = 100

The maximum height is 100 ft

How long will it take for the ball to hit the ground?

h(t) =0

0=-16t^2+48t+64

Factor

0 = -16( t^2 - 3t -4)

0=- 16( t-4) (t+1)

Using the zero product property

t-4=0     t+1=0

t =4     t = -1

Since time cannot be negative

t=4 seconds

help please show steps please I don't know what to do so I want to learn not just get the answer ​

Answers

The answer is -6 I put the work under here

Need helps with 45 , picture above

Answers

Answer:

Ok:

Step-by-step explanation:

We know Josh buys 3 oranges for $2 and sells 2 oranges for $3. Let's take the LCM (least common multiple) of 2 and 3. It is 6. If he buys 6 oranges, he needs $4. When he sells 6 oranges he makes $9. That is a total profit of $5. In total that means, if we multiple by 10, that means that if he sells 60 oranges,  he would make $50. Thus C is the answer

Katie wants to buy a bracelet. She only has $30 to spend. She has found a bracelet with a regular price of $45 and a discount of 35%. If the sales tax is 7%, will she have enough to buy the bracelet? If so, how much money will Katie have left? If not, how much more money will she need?

Answers

Given :

Money Katie has, M = $30.

She has found a bracelet with a regular price of $45 and a discount of 35%.

The sales tax is 7%.

To Find :

Will she have enough to buy the bracelet.

Solution :

Original price = $45 .

Price after discount = $( 45 - 45×0.35) = $29.25 .

Selling Price = $( 29.25 + 29.25×0.07 ) = $31.2975 .

Since, selling price is greater than $30.

Money needed = $( 31.2975 - 30 ) = $1.2975 .

Therefore, Katie will not buy the bracelet.

The sum of the 8th & 4th of an Ap is 24 and sum of and sum of 6th & 10th term is 44 Find the Ap​

Answers

Given:

Sum of 8th & 4th terms of an AP = 24

Sum of 6th & 10th terms = 44

Find:

A.P.

Solution:

We know that,

nth term of an AP = a + (n - 1)d

Hence,

⟹ a + (8 - 1)d + a + (4 - 1)d = 24

⟹ a + 7d + a + 3d = 24

⟹ 2a + 10d = 24 -- equation (1)

Similarly,

⟹ a + 5d + a + 9d = 44

⟹ 2a + 14d = 44 -- equation (2)

Subtract equation (1) from (2).

⟹ 2a + 14d - (2a + 10d) = 44 - 24

⟹ 2a + 14d - 2a - 10d = 20

⟹ 4d = 20

⟹ d = 20/4

⟹ d = 5

Substitute the value of d in equation (1).

⟹ 2a + 10(5) = 24

⟹ 2a = 24 - 50

⟹ 2a = 24 - 50

⟹ 2a = - 26

⟹ a = - 26/2

⟹ a = - 13

We know,

General form of an AP is a , a + d , a + 2d...

Hence,

⟹ required AP = - 13 , - 13 + 5 , - 13 + 2(5)...

⟹ required AP = - 13 , - 8 , - 3....

I hope it will help you.

Regards.

there are 48 newborn girls in a hospital nursery. For every 3 girls, there are 2 boys. How many newborn babies are in the nursery?

Answers

Hi! I believe your answer is 80 newborn babies. To find the number of boys, divide 48 by 3 (since it is for every 3 girls) and you'll get 16. Next, multiply 16 and 2 (for every 2 boys) and you'll get 32. Lastly, add 48 and 32 and you'll get the number of newborn babies in the nursery (80). I hope this helps you! Good luck and have a great day. ❤️✨

Number of total newborn babies = 80

What is ratio?

A ratio can be defined as the relationship or comparison between two numbers of the same unit to check how bigger is one number than the other one.

Given,

Total number of girls = 48

For every 3 girls, there are 2 boys.

Ratio of girls to boy = 3/2

Let there are x boys,

then,

48/x = 3/2

3x = 96

x = 32

Number of boys = 32

Total newborn babies = Number of girls + number of boys

                                     = 48 + 32 = 80

Hence, 80 newborn babies are in nursery.

Learn more about ratio here:

https://brainly.com/question/1504221

#SPJ2

Square EFGH will be translated 3 units up and 5 units right. What will be the coordinates of the image point F?

Answers

Answer:

(3,2)

Step-by-step explanation:

I hope this helps : )

The given measurement of a surface Area of a sphere is 196π.Find it's radius
(thanks in advance)​

Answers

Answer:

Hope this solution helps you. Sorry for the handwriting .

What is the correct equation to find the value of X?

Answers

Answer:

x = 12

Step-by-step explanation:

The 2 angles shown are corresponding angles and congruent, thus

8x - 17 = 5x + 19 ( subtract 5x from both sides )

3x - 17 = 19 ( add 17 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

what is faster drive a car that goes 40 k per hour
or
a car that goes 15 meters per second

Answers

Answer:

40k per hour is faster

mark me as branliest plz

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