Answer: Simple interest amount larger by $9.00
Step-by-step explanation:
Simple interest of 4.1% on $2,750 for 4 years:
Formula for simple interest is:
= Amount * (1 + rate * no. of periods)
= 2,750 * ( 1 + 4.1% * 4)
= 2,750 * 1.164
= $3,201
Compound interest of 3.8% on $2,750 for 4 years:
= Amount * (1 + rate) ^ no. of periods
= 2,750 * ( 1 + 3.8%)⁴
= $3,192
Difference:
= 3,201 - 3,192
= $9.00
Which is the solution to the system 3x+y=8 and 7x−4y=25
Answer:
(3, - 1 )
Step-by-step explanation:
Given the 2 equations
3x + y = 8 → (1)
7x - 4y = 25 → (2)
Multiplying (1) by 4 and adding to (2) will eliminate the y- term
12x + 4y = 32 → (3)
Add (2) and (3) term by term to eliminate y
19x + 0 = 57
19x = 57 ( divide both sides by 19 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
3(3) + y = 8
9 + y = 8 ( subtract 9 from both sides )
y = - 1
solution is (3, - 1 )
What could this answer be??
The number in the parentheses is the rate of change. Because this number is less than 1 it is a decrease, so it is a decay.
The percent decrease is 1 - 0.63 = 0.37 = 37% decrease
Solve the following system of equations using Substitution, showing all work.
2x+y=9
3x−2y=17
Answer:
(x,y)=(5,-1)
Step-by-step explanation:
1. 2x+y=9 ---> y=9-2x
2. Substitute y=9-2x into 3x-2y=17 ---> 3x-2(9-2x)=17 ---> 3x-18+4x=17 --> 7x=35 ---> x=5.
3. Substitute x=5 into 2x+y=9 ---> 2*5+y=9 ---> y=9-10 ---> y= -1
If a fair die is rolled twice and two numbers X1=result of the first roll and X2=result of the second roll are obtained. Given that X1+X2=7, what is the probability that X1 =4 or X2 =4
Answer:
P = 2/3 = 0.67
Step-by-step explanation:
Assuming that X1 + X2 = 7
The total number of outcomes such that X1 + X2 = 7 are:
X1 = 3, X2 = 4
X1 = 4, X2 = 3
X1 = 1, X2 = 6
X1 = 6, X2 = 1
X1 = 2, X2 = 5
X1 = 5, X2 = 2
So there are 6 total outcomes such that X1 + X2 = 7
Now, the probability that X1 = 4 is equal to the quotient between the number of outcomes where X1 = 4 (only one outcome) and the total number of outcomes (6)
Then:
p = 1/6
And the probability that X2 = 4 is calculated in the same way, then the probability is:
q = 1/6
Now, the probability that X1 = 4 or X2 = 4 is the sum of both probabilities we've found above, then:
P = p + q = 1/6 + 1/6 = 2/6 = 2/3 = 0.67
Find all of the missing angles, #1-22. pleasssseeee helpppppp
Nine scores have an average of 8. Scores x and x+1 are added, and these increase the average to 9. Find x
Answer:
x must be 13
Step-by-step explanation:
Represent the nine scores by a, b, c, d, e, f, g, h, i.
Write the following equation to indicate that the average of these nine scores is 8:
a+b+c+d+e+f+g+h+i
----------------------------- = 8, or a+b+c+d+e+f+g+h+i = 72 if we multiply both
9 sides of this equation by 9.
Next, we add scores x and x+ 1 to
a+b+c+d+e+f+g+h+i + x + x + 1
and divide the result by 11, as there are now 11 scores instead of just 9:
a+b+c+d+e+f+g+h+i + x + x + 1
----------------------------------------------
11
Earlier, we saw that a+b+c+d+e+f+g+h+i = 72. We can now replace
a+b+c+d+e+f+g+h+i in the above fraction by 72:
72 + 2x + 1
------------------- = 9 (as the new average is 9)
11
Multiplying both sides of this equation by 11 results in:
73 + 2x = 99, or 2x = 26.
Then x must be 13, and x + 1 must be 14.
What is the dominan and range of the relation below? Answer using set notation.
Answer:
domain: -2 < x < 4
range: -3 < y < 1
%
Jaden goes to her dance class every
10 days and Scarlett goes to the same dance
class every 5 days. If they are together at the
class on Saturday, what is the next day they
will be together at the dance class?
Answer:
tuesday is answere .........
In a cookie jar containing 6 chocolate chip cookies, 8 wafer cookies and 10 double chocolate cookies, what is the
probability that a person who isn't looking when they get a cookie will get a chocolate chip cookie?
Group of answer choices
15%
20%
33%
25%
Answer:
25%Step-by-step explanation:
10+8+6= 24 (total)
6 (chocolate chip) /24
25%
Answer:
25%
Step-by-step explanation:
10+8+6=24
so that means it is 25%
Pls, answer!!!!. Please answer the Geometry worksheet. 50 points, and brainliest
Answer:
you didnt put the picture out !!!!!!!!
What is the simplified value of the exponential expression 27 ^1/3
Answer:
27^1/3=3^3×1/3=3^1=3
therefore required answer is 3.
Answer:
3
Step-by-step explanation:
(27)^1/3
(3^3)^1/3
3
As 3*3*3 is 27 so we can write 3^3 ...both power got cancelled hence we got 3 as a answer
Find the missing height of the solid figure
9514 1404 393
Answer:
5 in
Step-by-step explanation:
The figure's angles are presumed to be right angles everywhere, so the left-side vertical dimension is equal to the right-side vertical dimension.
The right side is marked as 15 inches.
The left side has two vertical segments, one of which is 10 inches. Since the total left-side height must be the same as the right-side height, we have ...
10 in + ? = 15 in
? = 5 in . . . . . . subtract 10 in
The missing height is 5 inches.
please how do you solve 60cos25
Answer:
60cos(25)=54.378467222199
A $100 tablet is marked up by 10% and then the new price is marked down by 10%. What is the final price?
Answer:
$99
Step-by-step explanation:
So the initial price of the tablet was $100. It was marked up by 10% and then marked down by 10%. We are asked to find the final price.
To find the final price, lets first find the price after the tablet price was marked up by 10%. This means that the tablet price increased by 10%. To find the price, we can add 10% of the new original price (or 10% times $100) original price ($100):
$100 + ($100 × 0.1) = $100 + $10 = $110
We could have also multiplied $100 by 1.1 (or 1 + 10%) to find the new price.
So now we know that the new price after the tablet is marked up by 10% is $110. Now, to find the final price, we have to find the price after the new price is marked down by 10%. We can do this by taking the new price ($110) and subtracting 10% of the new price (or 10% times $110):
$110 - ($110 × 0.1) = $110 - $11 = $99
So the final price of the tablet would be $99.
I hope you find my answer to be helpful. Happy studying.
A diver found a school of fish 85 feet below the surface of the ocean. He found coral 95 feet deeper than the fish. How many feet deep from the surface was the coral?
Answer:
180 feet
Step-by-step explanation:
85+95=180 because depth + depth.
The total deep 180 feet from the surface was the coral.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that diver found the school of fish 85 feet below the surface of the ocean. Which he found coral 95 feet deeper than the fish.
The total deep from the surface was the coral.
Therefore, it could be;
depth + depth.
85 + 95 = 180
Hence, the total deep 180 feet from the surface was the coral.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
A watering can contained 5 ½ quarts water. After all the plants were watered, only 4 cups remained.
How many cups of water were used to water the plants?
7 cups
18 cups
40 cups
84 cups
Answer: 18 cups
Step-by-step explanation:
Answer:
the answer is 18 cups :))
What is 0.00047 in standard form.
Step-by-step explanation:
0.00047. = 47÷10 000
=4.7×10/10^-5
= 4.7×10^-4
soccer is played on a rectangular field that is ususally 120 yard long and 75 yard long wide. find the perimeter and are the of the soccer field
Answer:211
Step-by-step explanation:you figure out you height by division and add that 120+75+16 and that’s 211 we learning that in school
What is the circumference of a circle with a radius of 3 3/4mm
Answer:
23.56mm
Step-by-step explanation:
Circumference = 2 * pi *r = 2*pi* (3.75mm)
Answer: 23.56mm
one package of strawberries costs $4.50 how many will 3 packages cost?
if you can please show your work:)
I think you have to multiply them to get the answer $13.5
plz help I am being timed
Answer:
24
Step-by-step explanation:
Write the equation of the line, in slope-intercept form, with the
following information:
slope: -2
y-intercept: (0, -3)
Which point is not on the graph of the function y = x + 3?
(6, 9)
(97, 100)
(8, 12)
(2, 5)
Answer:
8,12
Step-by-step explanation:
Shawna is a member of the swim team. She can swim 3 laps in 3 minutes
and 21 seconds. If Shawna swims at the same pace, how long would it take
her to swim 8 laps?
Plzz show work
Answer:
8 mins 56 secs
Step-by-step explanation:
3 minutes and 21 seconds divided by 3 laps is 1.07 so it takes her 1 minute and 0.7 sec for each lap then u just multuply 1.07 by 8 and u get 8.56 meaning 8 mins and 56 secs. hope i helped :)
What is the positive square root of 16?
Answer:
4
Step-by-step explanation:
because The square root of 16 is 4, which is a rational number.
Answer:
4
Step-by-step explanation:
The sum of two numbers is 54 and the difference is 8. What are the numbers?
Answer:
23 and 31 are the numbers you are searching for.
Step-by-step explanation:
23 + 31 = 54
31 - 23 = 8
Have a nice day!
f(1) =
please help:)
Answer:
f(1) = 1
f(1) = -2
f(1) = -8
Step-by-step explanation:
see where there is/are points on the graph where the y-value equals one
(1, 1)
(-2, 1)
(-8, 1)
Calculate the total mass of 3 blocks of cheese each weighing 2.3 kg,4.75kg and 0.56kg respectively.
Answer:
7.61 Kg
Step-by-step explanation:
Total mass of all the cheese.
What is the value of x?
(9x - 3)
(6x)
48°
Enter your answer in the box.
X=
Answer: x = 9
Step-by-step explanation:
The sum of three interior angles of a triangle is 180°.
(9x - 3) + (6x) + 48° = 180°
9x - 3 + 6x + 48 = 180
15x + 45 = 180
15x = 135
x = 9
Using the figure below, determine which segment is parallel to the given segment.
Answer:
seg tu is parallel to seg qp
seg ts is parallel to pr
seg us is parallel to qr
Step-by-step explanation:
hope this helped :)