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kherson [118]
1 year ago
14

Tony invested $5,500 in a four-year CD that paid 4.8% interest, but later needed to withdraw $475 early. If the CD’s penalty for

early withdrawal was three months’ worth of interest on the amount withdrawn, how much of a penalty did Tony pay?
a.
$5.70
b.
$22.80
c.
$60.30
d.
$66.00
Mathematics
1 answer:
Feliz [49]1 year ago
4 0
Given:
principal: 5,500
term: 4 years
interest rate: 4.8% per annum
early wdl of 475

penalty is the 3 months interest of the amount withdrawn.

Interest = 475 * 4.8% * 3/12
Interest = 475 * 1.2%
interest = 5.7 is the amount of the penalty
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Brad says that if a second number is 125% of the first number, then the first number must be 75% of the second number. Is he cor
olga55 [171]

Answer: He is not correct.

Steps:

Let x1 and x2 be the first and second number, respectively.

x_2 = \frac{5}{4}x_1\\\frac{4}{5}x_2 =x_1

In words, if the second is 125%, or 5/4 of the first number (first equation),

then the first is 4/5 of the second, which is 0.8 or 80%.

8 0
1 year ago
A survey of 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise
marissa [1.9K]
100 total people......35 exercise in the morning....45 in the afternoon...and 20 at night

Jim is correct.....
35/100 is the ratio of people who exercise in the morning to total people.
45/100 is the ratio of afternoon exercisers to total people
20/100 is the ratio of night exercisers to total people
7 0
2 years ago
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A comic book store is having a sale you can buy 20 comic books for $35. what is the cost of 8 comic books during the sale
Elodia [21]

Answer:

$14

Step-by-step explanation:

35/20 = 1.75

8*1.75 = 14

4 0
2 years ago
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Last Saturday they were 1486 people at the Cineplex. There were about the same number of people in each of the six theaters. Bet
padilas [110]
When you do 1486x6 it equals 8,916
4 0
1 year ago
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit
Ann [662]
Let
x--------> <span>the number of sandwich lunch specials sold
y-------> </span><span>the number of wrap lunch specials sold

we know that
2x+3y=1470

Part 1) </span><span>Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.

we know that
</span>the equation to slope-intercept form is of the form
y=mx+b
so
2x+3y=1470------> solve for y
3y=1470-2x-----> divide by 3 both sides
y=(-2/3)x+1470/3
y=(-2/3)x+490

the slope m=-2/3
the y-intercept is 490


Part 2) <span>Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.

</span><span>the slope is -2/3  and the y-intercept is 490

Plot the point (0,490)------>  the y-intercept.
With the slope count 3 squares to the right and 2 squares down and plot that point, which is (0+3,490-2)--------> (3,488)
Draw a line through the two points  

Part 3) </span><span>Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.

In function notation, the equation is:
f(x)=(-2/3)x+490
The graph of this function represents how the value of the function varies as the value of x varies. Looking back at the question context, this graph specifically represents how many wraps could have been sold at each number of sandwich sales, in order to maintain the same profit of $1470.</span><span>

Part 4) </span>Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology

using a graph tool
see the attached figure

Part 5) Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different

we have that
2x+3y=1593
3y=1593-2x--------> y=(-2/3)x+531
slope=(-2/3)
y intercept=531
therefore
similarities : same slope
differences : y intercepts are different.
<span>This is basically telling me that the lines are parallel lines because they have the same slope.
</span>
6) Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations

Select two points on the line and write down their coordinates

Let
 A( 0,300)  B (450,0)
a) find the slope
m=(y2-y1)/(x2-x1)----> m=(0-300)/(450-0)----> m=-2/3
b) with the slope m=(-2/3) and the point A (0,300)
y-y1=m*(x-x1)-----> y-300=(-2/3)*(x-0)----> y=(-2/3)x+300

the answer Part 6) is
y=(-2/3)x+300

7 0
1 year ago
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