Answer:
$5318
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 2650 × 0.04 × 3 = 318
I = $ 318.00
The simple interest accumulated
on a principal of $ 2,650.00
at a rate of 4% per year
for 3 years is $ 318.00.
Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Carter to end up with $250?
Answer:360
Step-by-step explanation:g-g5
The rate of interest will be 0.35.
What is compound interest?
Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Compound interest formula[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]
and, the Amount is given by
[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]
Where,
A is amount
P is principal
r is rate of interest
n is number of times interest is compounded per year
t is time
According to the given question
Principal, P = $210
Amount, A = $250
Time, t = 5 years
n = 1
Therefore, the interest rate is given by
Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]
⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]
⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]
⇒[tex]1.19 = (1+r)^{5}[/tex]
⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]
⇒ 1.035 = 1 + r
⇒ r = 1.035 - 1
⇒ r = 0.35
Hence, the interest rate is o.35.
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Riko is ordering a submarine sandwich for 6 people. Each person will eat the same size section of the sandwich. The section size should be at least 4 inches. What is the length of the smallest sandwich Riko should order?
Answer: 24 inches.
Step-by-step explanation:
If each section length is 4 inches, then that means that each person will need to eat a sandwich section that is at least 4 inches.
There are 6 people, which means that each person will eat 4 inches of a sandwich.
To calculate the length of the sandwich Riko should order, we should mutliply 6 by 4, because there are 6 people and each person will be eating 4 inches of a sandwich.
6 x 4 = 24.
In conclusion, the smallest sandwich Riko should order is a sandwich that is 24 inches long.
(Quick Note: This is also the smallest sandwich Riko could order, because the text states that each person eats at least 4 inches.)
A shoe store owner uses a 15 percent markup on the merchandise. At what price will she sell shoes that were purchased for $35?
Answer:
$40.25
Step-by-step explanation:
35 increase 15% =
35 × (1 + 15%) = 35 × (1 + 0.15) = 40.25
Can anyone please help me out? I have to find the Greatest Common Factor for each, thank you!
Answer:
1= 4x^2
2= 5b^4
3= 3u^2v^2w
4= 7
5= bc^3d^6
Note: ^ stands for exponents
- 6(x + 2) = 30
- 6(x + 2) = 30
- 6x + (- 12) = 30
The solution is -
Answer:
-7
Step-by-step explanation:
Functions:Question 5
What is the y-intercept of the line whose equation is shown below?
y = - 3.3 +7
Select one:
3
-3
4
7
NEED ANSWER ASAP! ON A TIMED TEST!
Four chords are drawn in the figure below, creating a quadrilateral with every vertex on the circle.
Using the special properties of this figure, determine m
Answer:
21°
Step-by-step explanation:
<DCB = 3x + 8°
< DAB = 5x + 4°
Now
<DCB + <DAB = 180° { being opposite angles of cyclic quadrilateral }
3x + 8° + 5x + 4° = 180°
8x + 12° = 180°
8x = 180° - 12°
8x = 168°
x = 168° / 8
Therefore x = 21°
Hope it will help :)
A helicopter landing pad has a length of 80 ft and a width of 50 ft. A safety zone
of uniform width, which is not to be entered during landing, surrounds the landing
pad. The landing pad and safety zone together have a combined area of 10800 ft2,
what is the uniform width (safety zone) around the landing pad?
Answer:
uniform width around the landing pad = 9.41 feet
Step-by-step explanation:
Length of landing pad = 80 ft
width of landing pad = 50 ft
Length of safety zone = (80 + 2w)
width of safety zone = (50 + 2w)
Total area = 10800 [tex]ft^{2}[/tex]
Area of landing pad = length x width
= 80 x 50
= 4000 [tex]ft^{2}[/tex]
Area of landing pad = 4000 [tex]ft^{2}[/tex]
Thus,
area of safety zone = total area - area of landing pad
= 10800 - 4000
= 6800
area of safety zone = 6800 [tex]ft^{2}[/tex]
But,
area of safety zone = length x width
6800 = (80 + 2w) x (50 + 2w)
6800 = 4000 + 160w + 100w + 4[tex]w^{2}[/tex]
divide through by 4,
1700 = [tex]w^{2}[/tex] + 65w + 1000
⇒ [tex]w^{2}[/tex] + 65w + 1000 - 1700 = 0
[tex]w^{2}[/tex] + 65w -700 = 0
Applying the quadratic formula,
w = (-b ± [tex]\sqrt{b^{2} -4ac}[/tex]) ÷ 2a
a = 1, b= 65 and c = -700
w = (-65 ± [tex]\sqrt{(65)^{2}-(4*1*-700) }[/tex]) ÷ 2
= (-65 ± [tex]\sqrt{7025}[/tex]) ÷ 2
= (-65 ± 83.82)÷ 2
w = (-65 + 83.82) ÷ 2 OR (-65 - 83.82) ÷ 2
= 18.82 ÷ 2 OR -148.82 ÷ 2
= 9.41 OR -74.41
Thus, w = 9.41 ft.
What is the solution to the system of equations?
-4y – 3x = -11
x – 2y = 17
Answer:
Step-by-step explanation:
Any way someone has a step by step process to solve for x?
-2x+9=21
-2x + 9 = 21
Step 1: subtract 9 from both sides.
-2x = 12
Step 2: divide both sides by -2.
X = -6
Which function has a domain of x greater-than-or-equal-to 5and a range of y less-than-or-equal-to 3?
y = StartRoot x minus 5 EndRoot + 3
y = StartRoot x + 5 EndRoot minus 3
y = negative StartRoot x minus 5 EndRoot + 3
y = negative StartRoot x + 5 EndRoot minus 3
Answer:
The function that has a domain of 'x' greater-than-or-equal-to 5 and a range of 'y' less-than-or-equal-to 3 is;
[tex]y = -\sqrt{x - 5} +3[/tex].
Step-by-step explanation:
The domain of a function are the possible 'x' values of the function
The range of a function are the possible 'y' values of the function
The given possible functions are;
1) [tex]y = \sqrt{x - 5} +3[/tex]
The range of values for the above function are;
Domain; x ≥ 5
Range; y ≥ 3
2) [tex]y = \sqrt{x + 5} -3[/tex]
The range of values for the above function are;
Domain; x ≥ -5
Range; y ≥ -3
3) [tex]y = -\sqrt{x - 5} +3[/tex]
The range of values for the above function are;
Domain; x ≥ 5
Range; y ≤ 3
4) [tex]y = -\sqrt{x + 5} -3[/tex]
The range of values for the above function are;
Domain; x ≥ -5
Range; y ≤ -3
Therefore, the required function is the third function, [tex]y = -\sqrt{x - 5} +3[/tex].
Answer:
C on Edge2021
Step-by-step explanation:
d: 11
A food company is designing boxes for several products. Each box is a rectangular prism.
15
The company makes a single serving cereal box that contains 1.2 ounces of cereal. They plan to make an extra large box for school
cafeterias. The extra large box will be a dilation of the single serving box using a scale factor of 4. How many ounces of cereal will
the extra large box contain?
I need step by step
How many ounces of cereal will the extra large box contain is 76.8 ounces.
Number of ounces of cereal?Using this formula
Number of ounces of cereal=Number of ounces×Scale factor
Let plug in the formula
Number of ounces of cereal=1.2×4×4×4
Number of ounces of cereal=1.2×64
Number of ounces of cereal=76.8 ounces
Therefore how many ounces of cereal will the extra large box contain is 76.8 ounces.
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what is the domain of the relation
Answer:d I believe
Step-by-step explanation:
Sarah is planning for a children's party. She wants to provide each child with a party bag containing 3 items, a whistle, a ball and a tube of sweets. Whistles are sold in packs of 5, balls in packs of 3 and sweets in packs of 6, she doesn't want any single items left over, even if it means she has too many party bags. What are the minimum party bags she can make and how many packs of each item does she need to buy?
Hey I'm Chloe, Can You Help Me Thank you :)
y varies proportionally with x. When x = 2, y = 18.
What is the constant of proportionality for this relationship?
Answer:
y = 9x
Step-by-step explanation:
Expressions that simlify to the same expression are called
Answer:
Eqivelent expressions
Step-by-step explanation:
also dis
Juan bought a laptop for $650 and a power adapter for $59. If the sales tax rate is 6%,
what was the total tax that Juan paid?
Answer:
$42.54
Step-by-step explanation:
total spent- 709
6/100*709= 42.54
if my answe helps please mark as brainliest.
7. Look at this figure
There are different shapes in the figure (Do not count the
trapezoid itself)
b2
9:24 AM
2/9/2029
Answer:
thx for the 32 points
Step-by-step explanation:
Use distributive property to write an equivalent expression. Use paper and pencil to
work the problems out, and then check your answers once you have submitted the
practice. (Answers will be in the bubbled comments after the problem.)
A. 6 Gn+2)
B.p(4p +9)
C. 5r (r + 4
Answer:
A) 6Gn + 12 (or 6n+12, if that’s what you meant)
B) 4p²+9p
C) 5r²+20r
Step-by-step explanation:
A. If you meant 6(n+2)...
Multiply 6 by n and also 6 by 2:
6n + 12
B. Multiply p by 4p and also p by 9
4p²+9p
C. Multiply 5r by r and also 5r by 4
5r²+20r
Hope this helped!
20+ points and brainliest in exchange for a couple of minutes of your time.
Answer:
Question 10: 25 Question 9: 60
Step-by-step explanation:
Angles share a line. 180-105=75
75/3=25
----------
Is the line at the bottom of question 3 the right side or left?
If there are 17 teachers, how many students are there?
Answer:
is there anymore to that question
Step-by-step explanation:
Need Help On Number 2
15. Mr and Mrs Thomas buy tickets for themselves and their four children.
The cost of an adult ticket is $7 more than the cost of a child ticket
The total cost of the six tickets is 586
Work out the cost of an adult ticket
Answer:
$102.33
Step-by-step explanation:
586= 4t + 2(t+7)
586= 4t +2t +14= 6t +14
572= 6t
95.33=t
adult ticket = t +7
two coins are tossed at the same time. what is the probability they both land on tails?
Answer:
1/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
30%
The two trapezoids below are similar. What is the length of EF?
Answer:
x/24 = 7.5/30
30x = 180
________
30
x= 6
The length of EF in given trapezoid is 6 cm
What is trapezoids ?Trapezoids are quadrilaterals that have two parallel sides and two non-parallel sides. It is also called a Trapezium. A trapezoid is a four-sided closed shape.
a pair of opposite sides are parallel.
diagonals of trapezium bisect each other.
sum of all four angles of trapezium is = 360°
it has four unequal sides.
diagonals are congruent.
opposite side of an isosceles trapezium are congruent.
According to the question
Trapezoids ABCD and EFGH are similar,
Hence, corresponding sides ratio are equal
Thus, AB/EF = DC/HG
24/x = 30/7.5
30x = 180
x = 180/30
x= 6
Hence, The length of EF is 6 cm
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3^-7
Simplify please.
Answer:
0.000457 what I got
Step-by-step explanation:
What is 1102 using the polynomial identity (a+b)2=a2+2ab+b2 ?
Drag and drop the correct responses into the boxes.
Let the smaller value a = Response area and the larger value b = Response area. Then a2+2ab+b2 is Response area. This can be simplified to Response area. So, 1102 is equal to Response area.
Answer:
"Let the smaller value a = 10 and the larger value b = 100. Than a^2 + 2ab + b^2 is 10^2 + 2 * 10 * 100 + 100^2. This can be simplified to 12100. So, 110^2 is equal to 12100."
Hope this helped!
The smaller value is 10
The larger value is 100
So the square of 110 should be 12100
Calculation of the value:Since here we assume the smaller value be 10
So, the larger value be 100
Now
[tex]a^2 + 2ab + b^2 = 10^2 + 2 \times 10 \times 100 + 100^2.[/tex]
This can be simplified to 12100.
So, [tex]110^2[/tex] is equal to 12100.
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1
5
9
2 ft
18 Ft
A rectangular window 5 feet by 2 feet is on a rectangular wall 9 feet by 18 feet. The rest of the
wall needs to be painted. Approximately how many square feet of wall needs to be painted? *
64 square feet
68 square feet
O
152 square feet
O 172 square feet
Answer:
152sqft
Step-by-step explanation:
5 * 2 = 10
9 * 18 = 162
162 - 10 = 152
A construction crew is building a two story house, but they have not built the staircase between the floor yet. The height of the staircase is 12 feet, the base of the stairs will be 6 feet from the wall. How long does the temporary ramp need to be to the nearest tenth of a foot?
Answer:
13.4feet
Step-by-step explanation:
The set up forms a right triangle.
Given
Height of the staircase h = 12 feet
Base of the stairs b = 6feet
Required
Length of the ramp l
Using the pythagoras theorem
l² = h² + b²
l² = 12²+6²
l² = 144 + 36
l² = 180
l = √180
l = 13.42 feet
Hence the length of the ramp to the nearest tenth is 13.4feet
“Twelve less than a number.”