Justyna invested $1500 in an account at a 2.5% interest rate compounded annually. She made no deposits or withdrawals on the
account for 7 years. Determine, to the nearest dollar the balance in the account after the 7 years.
4.200
Answer:
$1783.03
Step-by-step explanation:
Annually compounding interest formula:
PV(1+i)ⁿ
1500(1+.025)⁷
1500(1.025)⁷
1783.028631
which rounds to
1783.03
Answer:
$1783.03
Step-by-step explanation:
You use the formula for finding the interest rate.
So 1500(1+.025)^7
Which you put that in a calculator and it comes to out to 1783.0286. Then just round up.
Hope this helps
Brainliest would be appreciated
what is the answer to the question 5/6 * 1/4 =
I am having a hard time figuring it out
Answer:
5/24
Step-by-step explanation:
[tex]\frac{5}{6} *\frac{1}{4} =\frac{5*1}{6*4} =\frac{5}{24}[/tex]
What is the solution to the system of linear equations represented by the matrix equations below. Please help!!!!!
The system of equations has infinite solutions.
Option D is correct.
What is matrix multiplication?Matrix multiplication is a binary operation whose output is also a matrix when two matrices are multiplied.
To multiply one matrix with another, we need to check first, if the number of columns of the first matrix is equal to the number of rows of the second matrix. Now multiply each element of the column of the first matrix with each element of rows of the second matrix and add them all.
Given
Matrix equations
[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}6\\3\end{array}\right][/tex]
L.H.S:
Using Matrix multiplication
[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right][/tex]
R.H.S:
[tex]\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right]=\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]
Writing equation from above matrix
2x + 4y = 6
x + 2y = 3
or
2x + 4y = 6
2x + 4y = 6
Because there are two unknown number, but the two equations are consistent.
So, the system of equations has infinite solutions.
Option D is correct.
Find out more information about matrix multiplication here
https://brainly.com/question/14490203
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Rosa has 7 1/2 yards of material. Her new skirt will take 3 2/3 yards. How much material will she have left after the skirt is made?
Answer:
11 1/6
Step-by-step explanation:
what is a square root?
Answer:
A number multiplied by its self for ex 7 x 7 = 49 square root of 49 is 7
Answer:
A square root of a number is a value that, when multiplied by itself, gives the number. 6 · 6 = 36, so a square root of 36 is 6. You are probably curious why I said a square root and not the square root. - 6 · - 6 = 36. - 6 is a square root of 36. The symbol is √ which always means the positive square root.
√1 = 1
√4 = 2
√9 = 3
√16 = 4
√25 = 5
√36 = 6
√49 = 7
√64 = 8
√81 = 9
√100 = 10
determine equation (help please )
Answer: C
Step-by-step explanation:
Oscar rides his skateboard 58
5
8
mile in 14
1
4
hour. How fast, in miles per hour, does he ride his skateboard?
Answer:
speed = distance ÷ time
58 ÷ 14
speed = 4.142
Select each true statement about this.
A cylinder has a diameter of 18cm and a height of 4cm.
The radius is 12cm
The volume of the cylinder is324 п cm
The volume of the cylinder is1296 п cm
The area of the base of the cylinder is 81 п cm?
Answer:
The volume of the cylinder is324 п cm
The area of the base of the cylinder is 81 п cm
Step-by-step explanation:
volume of a cylinder = nr^2h
n = 22/7
r = radius = 18/2 = 9
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
n x (9^2) x 4 = 324n
Area of the base of the cylinder : Area of a circle = πr² = π x 9^2 = 81 π
Martin is driving to his uncle’s farm, which is 240 mi. from home. If he drives at a constant rate of 60 mph, how long will it take Martin to get to the farm? A. 2 hr. B. 4 hr. C. 5 hr. D. 6 hr.
Answer:
4 hours
Step-by-step explanation:
240 divided by 40
Answer:
4 hours
240 divided by 60
Step-by-step explanation:
Hope it helps
Identify who is correct
Describe the mistake that was made
Jack is wrong because he used the distributive property wrong. On the top equation, you see 2(4k - 3). The 2 multiplies into the (), so basically you have
2 x 4k - 2 x 3
which gives you
8k - 6
Answer:
Taniyah
Step-by-step explanation:
Taniyah is correct because you need to:
diistribute : 8k - 6 - 6k = 14
combine like terms : 2k - 6 = 14
add 6 to both sides : 2k - 6 + 6 = 14 + 6
simplify : 2k = 20
divide both sides by the same factor : 2k/2 = 20/2
simplify : k = 10
Carlos bought 6.5 pounds of bananas for $5.20.
● What is the price per pound of the bananas that Carlos bought?
What quantity of bananas would one dollar buy?
What is the missing length?
8
Х
17
ОА. 15
ОВ. 30
o o o
С. 8
0 D. 7
Answer:
[tex]A)15[/tex]
Step-by-step explanation:
[tex](17)^{2} =8^{2}+x[/tex]
[tex]x^2=17^2-8[/tex]
[tex]x^2=225[/tex]
[tex]x=15[/tex]
-----------------------
hope it helps...
have a great day!!
Can help me with this?
Answer:I’m sorry this is hard I don’t think I have the right answer chose C
Step-by-step explanation:
Can someone please help me on this?
Answer:
The surface area of the green prism is 2.5 times greater than the surface area of the blue prism
what is the value of A
I think the answer is a = 4.5
81 ÷ 6 ÷ 3 = 4.5
I hope this helps, have a wonderful day!
i guess it might be right or wrong.the answer will be x value is 20.
help me please!!!! asap Tia
Answer:
All of them should be marked sicne they are all less than 12.
Step-by-step explanation:
Answer:
m = 6, m = 1, m = 5, m = 7
Step-by-step explanation:
All the options are solutions of m < 12.
Expand (2+x)(2-x). If necessaty combine like terms
Answer:
Step-by-step explanation:
(2+x)(2-x)
2(2-x)+x(2-x)
4-2x+2x-x^2
4-x^2
There are eight boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different student
to answer another question. The first
student is a boy and the second student is a
girl.
Answer:
Independent events - Random selection of one
student - Selection of one boy to answer first question
Dependent Event - Selection of a girl student
Probability = 13.33 %
Step-by-step explanation:
The complete question is
Determine whether the scenario involves independent or dependent events. Then find the probability
There are eight boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different student
to answer another question. The first
student is a boy and the second student is a
girl.
Solution
Independent events - Random selection of one
student - Selection of one boy to answer first question
Dependent Event - Selection of a girl student
Probability
8C1 + 8C1/16C2
(8+8) /(8*15)
13.33 %
Please help me to find area of semicircle
Answer:
Use a calculator and use the formula 1/2 × pi × (radius squared)
Three people invest at a ratio of 1:4:7. If the partnership is worth $636,000, what did each person invest?
Answer:
See the detailed answers below
Step-by-step explanation:
Given data
Ratio= 1:4:7
combined ratio= 1+4+7= 12
Total amount= $636,000
Apply the part to all method
The first person will take
1/12= x/ 636,000
cross multiply
12x= 636,000*1
x= 636,000/12
x= 53000
The second person will take
4/12= x/ 636,000
cross multiply
12x= 636,000*4
x= 2544000/12
x= 212000
The third person will take
7/12= x/ 636,000
cross multiply
12x= 636,000*7
x= 4452000/12
x= 371000
Glenn has a garden that is shaped like a rectangle.
The perimeter of his garden is 7012 feet.
The length of the garden is 2434 feet.
What is the width of the garden?
21 ft o 11ft o 10 ½ ft o 45 ¾ ft
Answer:
Solution given:
The length of the garden[l] = 2434 feet.
breadth or width [b]=b
perimeter of his garden = 7012 feet.
2[l+b]=7012ft
2434+b=7012/2
b=3506-2434
b=1072
So the width of the garden is 1072ft.
Which of the scatter plots below shows the most accurate line of best fit?
W.
X.
Y.
Z.
A.
X
B.
Y
C.
Z
D.
W
The answer should be the first image.
HELP ASAPPPP, FIRST PERSON TO HAVE THE CORRECT ANSWER WILL HAVE BRAINLIEST
What is the distance between points (8,3) and (3, 1) on the coordinate plane?
OA. 3 units
OB. 21 units
OC.29 units
OD. 7 units
Answer:
√29
Step-by-step explanation:
You would use the distance formula in this case to solve the problem:
(8-3)^2+(1-3)^2=29
Now square root 29, leaving you with √29.
Answer:
5.39
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(3 - 8)² + (1 - 3)²
√(-5)² + (-2)²
√25 + 4
√29
= 5.39
David is planning to attend a public university after he graduates from high school in 3 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $53,600. His family has promised to contribute $32,000 each year he is in school. What is the minimum amount of money David must contribute to his savings per month for the next 3 years to have enough money to pay for his first year of tuition?
a
$450
b
$600
c
$575
d
$725
Answer:
b. 600
Step-by-step explanation:
subtract money from parents from tuition
divide by months
NO LINKS the picture below shows six quarters and two pennies. If this was broken
down into two separate groups, what would be the equivalent ratio to six-
seconds?
Answer:
B i took the quiz
Step-by-step explanation:
Just trust me bro
Please answer this math question for me
Answer:
Hello! answer: a = 79
Step-by-step explanation:
This is a complimentary angle so it will add up to 180 so 180 - 101 = 79 so 79 is the answer hope that helps!
Jacob rode his bicycle at an average rate of 15 kilometers per hour.
Which statement about Jacob's bike race could be true?
Answer:b
Step-by-step explanation:
Sort the numbers from LEAST TO GREATEST . > 6.82 , 6.803 , 6.650 , 6.68
Answer:
6.650, 6.68, 6.803, 6.82
Step-by-step explanation:
You just treat the decimals as you would whole numbers. Try imagineing them as whole numbers and its a lot easier like this. 6.82 and 6.68 as 682 and 668, you can clearly see 668 is lower than 682 so it comes first. Therefore, 6.68 is lower than 6.82 and comes first.
What is the value of v if 11 +v= 44 ?
Answer:
Hi! answer: v = 33
Step-by-step explanation:
44 - 11 = 33 11 + 33 = 44 so v = 33
help please!!!! thank you in advance. asap too