Answer:
6750
Step-by-step explanation:
simple interest = P×r%×t
P = $6000
r = 2.5%
t = 5 years
I = 6000 × 2.5/100 × 5
= 750
6000 + 750 = $6750
Answer:
Below is the sample response
Step-by-step explanation:
The complementary event for choosing a red marble is choosing a blue or purple. The total number of marbles is 5. The probability of choosing a red marble is 1/5, and the complement would be 4/5. That is not the same as choosing a blue marble.
1 .Fridays and Saturdays, she works 16 hours
16 x $9.70 = $155.20
answer: her gross pay in a week: $155.20
2. 7 hours on Wednesday, 6 hours on Thursday, and 9 hours on Friday. His gross pay for all three days was $196.90
7 + 6 + 9 = 22
196.90 / 22 = $8.95
answer: his hourly rate was $8.95
3.hourly rate of $11.28 per hour worked 46 hours last week. She works overtime for hours exceeding 40 hours in a week. She is paid overtime at a rate of time and a half. What was her gross pay last week?
$11.28 x 40 = $451.20 ---normal 40 hours paid
46 - 40 = 6 (6 hours over time)
11.28 + 11.28/ 2 = $16.92 (overtime pays a rate of time and a half)
6 * $16.92 = $101.52
$451.20(40hours) + $101.52(6hours overtime) = $552.72
answer: her gross pay last week was $552.72
4. Paul received a $15 tip on a meal that cost $120. What percent of the meal cost was the tip?
15 / 120 = .125
.125 * 100 = 12.5%
answer: percent of the meal cost was the tip was 12.5%
5. Carly earns a weekly salary of $720 plus 4% commission. Last week, she sold $3250 worth of products. What was her gross pay?
4% = .04
$3,250 * .04 = $130 (commission on sold products)
$720 + $ 130 = $850
answer: her gross pay was $850
Answer:
5/7
Step-by-step explanation:
20/28=5/7
Hoped i answered u
A good place to start is to set 
to y. That would mean we are looking for 
to be an integer. Clearly, 
, because if y were greater the part under the radical would be a negative, making the radical an imaginary number, not an integer. Also note that since 
is a radical, it only outputs values from ![[0,\infty]](https://tex.z-dn.net/?f=%20%5B0%2C%5Cinfty%5D%20)
, which means y is on the closed interval: ![[0,120]](https://tex.z-dn.net/?f=%20%5B0%2C120%5D%20)
.
With that, we don't really have to consider y anymore, since we know the interval that is on.
Now, we don't even have to find the x values. Note that only 11 perfect squares lie on the interval , which means there are at most 11 numbers that x can be which make the radical an integer. All of the perfect squares are easily constructed. We can say that if k is an arbitrary integer between 0 and 11 then:
Which is strictly positive so we know for sure that all 11 numbers on the closed interval will yield a valid x that makes the radical an integer.
