A $5,600 deposit for 45 years at a simple
interest rate of 3%
Answer:
$13,160
Step-by-step explanation:
5,600*.03=168
168*45= 7,560
5,600+7,560= 13,160
The amount of money in the account of Tom after 3 years with simple interest of 9.5 % is $6135.
What is simple interest?Calculating the amount of interest that will be charged on a loan can be done quickly and easily using the simple interest formula. To calculate the simple interest, we need to multiply the principle amount, the number of days between payments (in years), and the interest rate (in decimals).
The formula to calculate Simple Interest is:
SI = P*I*T
Here, P = Principal amount,
I = interest rate (in decimals),
T = time duration (in years).
putting the values from question:
SI = 5600 * 0.095*3
Simple Interest = 535
The money in the account will be the sum of principal amount and the simple interest.
Final amount = Principal amount + Simple Interest.
A = 5600 + 535
A = 6135
Therefore, the money in the account after 3 years is $6135 .
To know more about simple interest, go to link
brainly.com/question/2294792
#SPJ2
complete question;
Tom deposits $5,600 into a savings account. The simple interest rate for the account is 9.5%. If Tom does not withdraw any money from the account, how much money will be in the account after 3 years?
The difference between two numbers is 78. Six times the smaller is equal to 7 more than the larger. What are the numbers?
Answer: x=95 and y=17
Step-by-step explanation:
X-y=78
6y=7+x
6y-7=x
6y-7-y=78
5y-7=78
5y=85
y=17
x-17=78
x=78+17
x=95
Answer:
x=143
y=25
thus ur two numbers are 143 and 25
3.
a) Find the HCF of 45 and 60
b) Find the LCM of 45 and 60
c) Multiply your answers to parts a and b together.
d) Multiply 45 and 60.
Answer:
a- 15
Step-by-step explanation:
Answer:
a.) 15
b.) 180
c.) 2700
d.) 2700
the quotient of k and ten
Answer:
k/10
Step-by-step explanation:
Quotient of k and 10 simplified to k/10
please help with this
Three small shipping boxes and one large shipping box hold 64 pounds. A large shipping box minus a small shipping
box holds 32 pounds. When writing a system of equations to determine how many pounds each small box (x) and each
large box (y) holds, which statements are true?
A)
y + 3x = 64
y - x = 32
B)
y - 3x = 64
y + x = 32
3y - x = 64
y - x = 32
D)
(8. 40) is the solution to the system.
E)
(12, 10) is the solution to the system.
Answer:
y + 3x = 64
y - 3x = 32
(8,40) is the solution to the system
(Basically A & D)
Step-by-step explanation:
1 large + 3 small = 64 y+3x=64
1 large - 1 small = 32 y-x=32
(12,10) cannot be a solution because the small box (x) holds more than the large box (y).
Substitute (8,40): 40 + 3(8) = 64 and 40 - 8 =32
19. Eight hot dogs at the baseball park cost $28.
How much does one hot dog cost?
(let h = price of one hot dog)
Answer:
h= $3.50
Step-by-step explanation:
28 / 8 =
which equation shows that 9 is a factor of 72
Answer:
Step-by-step explanation:
This question is worth 2 points! Allison makes and sells beaded necklaces. She charges a flat fee of $5 per necklace, and $1.50 per bead that she adds. If Jennifer, who wants to purchase a necklace, has $34 to spend, how many beads can she add to her necklace? Explain the process you used to solve, and tell what your answer is.
Answer:
19 beads
Step-by-step explanation:
If Jennifer has 34$ she automatically loses 5$ because that's the fee for the necklace. So, you subtract 34 from 5 and you get 29. After that you divide 29 by 1.50 and you get 19.333333. But, since you can't get 1/3 of a bead Jennifer can only buy 19 beads.
A set of equations is given below:
Equation M: y = 3x + 4
Equation P: y = 3x + 7
Which of the following options is true about the solution to the given set of equations? (4 points)
Question 5 options:
1)
No solution
2)
One solution
3)
Two solutions
4)
Infinite solutions
Answer:
Step-by-step explanation:
No solution. Lines M and P have the same slope but different y-intercepts., so they are parallel lines.
Parallel lines don’t intersect each other, so there is no solution.
4. If (3 + bi) + (7 – 2i) = 10 + 6i, find the value of b.
Answer:
b = 8
Step-by-step explanation:
The real part of the givens add correctly.
bi - 2i = 6i Add 2i to both sides.
bi = 6i + 2i
bi = 8i The i's will cancel
b = 8
1. Only 60% of the students passed a drawing class. 2,000 students took the class. Find out how many students were failures.
Answer:
800 students failed
Step-by-step explanation:
Since 60% passed the class, 40% failed
This means that 40% of the 2,000 students are failures
[tex]\frac{40}{100} (2,000)= 800[/tex]
I need some help with this and with the other 6 question! Help this girl in need
Answer:
i think it is y=15x-6
Step-by-step explanation:
if it is correct plz plz mark as brainliest
thank you
19NBoli
Answer:
y = 2x-6
Step-by-step explanation:
Slope intercept form:
y = mx+b
m = slope
In this case the slope is 2/1 or 2.b = The point where the line crosses the y-axis
In this case -6 is the exact point the line crosses the y-axisSo if you put it all together you get the answer of:
y = 2x-6
I hope this helped!
P.S. I am so sorry I couldn't respond earlier :(
Sincerely,
Rekifromsk8theinfinity
:D
Conduct a Pareto analysis for the number of minutes that flights are late in the accompanying data. Interpret the results. LOADING... Click the icon to view the Atlanta Airline Data. Conduct a Pareto analysis for the number of minutes that flights are late. 15127137130.3074601124.053619303 192644911620.5010780515.163538874 192426514270.6153514455.158176944
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the attached file for the solution:
20% of flights accounted for nearly 70 to 80% of delayed minutes.
Find the value of x.
x = [?]
Answer:
14
Step-by-step explanation:
Since both the chords are equidistant from the center of the circle, so their lengths would be same.
x = 2*7 = 14
Divide 16x3 – 12x2 + 20x – 3 by 4x + 5.
Answer:
[tex]4x^2 - 8x + 15 - \frac{78}{4x+5}[/tex]
Step-by-step explanation:
To solve polynomial long division problems like these, it's helpful to build a long division table. Getting used to building these can make problems like this much simpler to solve.
Begin by looking at the first term of the cubic polynomial.
What would we have to multiply [tex]4x + 5[/tex] by to get an expression containing [tex]16x^3[/tex]? The answer is [tex]4x^2[/tex], since [tex](4x + 5) \times 4x^2 = 16x^2 + 20x[/tex].
This is the first step of our long division, and we write out the start of our long division table like this:
[tex]{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,16x^3 + 20x^2\\[/tex]
On the left is the divisor. On top is [tex]4x^2[/tex]. In the middle is the polynomial we are dividing, and on the bottom is the result of multiplying our divisor by
The next step is to subtract the bottom expression from the middle one, like so:
[tex]{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,0x^3 - 32x^2\\[/tex]
We are left with [tex]-32x^2[/tex]. The next thing to do is to add the next term of the polynomial we are dividing to the bottom line, like this:
[tex]{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\[/tex]
Now we return to the beginning of the instructions, and repeat the process: namely, what would we have to multiply [tex]4x + 5[/tex] by to get an expression containing [tex]-32x^2[/tex]? The answer is [tex]-8x[/tex], and we fill out our long division table like so:
[tex]{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2 - \,\,\,\,8x\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 - 40x\\[/tex]
Once again, we subtract the bottom expression from the one above it, and include the next term of the divisor, like so:
[tex]{ }\qquad{ }\qquad{ }\quad{ }4x^2 - \,\,\,\,8x \,+ 15\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline{- 32x^2 - 40x}\\{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\,\,\,\,\,60x - 3\\[/tex]
And repeat. What do we multiply [tex]4x + 5[/tex] by to get an expression containing [tex]60x[/tex]? The answer is 15. Our completed long division table looks like this:[tex]{ }\qquad{ }\qquad{ }\quad{ }4x^2 - \,\,\,\,8x \,+15\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline{- 32x^2 - 40x}\\{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\,\,\,\,\,60x - 3\\{ }\qquad{ }\hspace{3cm}\,\,\underline{60x + 75}\\{ }\hspace{4.3cm}\,\,-78[/tex]
Now, the expression at the top,
[tex]4x^2 - 8x + 20x + 15[/tex]
is our quotient, and the last number, [tex]-78[/tex], is our remainder.
Hence we arrive at the solution of
[tex]\frac{16x^3-12x^2+20x-3}{4x+5} =4x^2 - 8x + 15 - \frac{78}{4x+5}.[/tex]
what is the 3rd quartile of the daily high temperature in atlanta for one month
61,61,63,64,65,66,66,67,68,70,70,70,71,71,72,74,74,74,75,75,75,76,76,77,78,78,79,79,94
You are shopping for earrings. The sale tax is 5%. You have a total of $18.37 to spend. What is your price limit for the earrings?
(Please help me I'm failing:)
Answer:
$17.50
Step-by-step explanation:
$18.37=x+5%
18.37=1.05x
18.37/1.05=x
x=$17.50
solve if x=11. x+44/2x
Answer:
substitute 11 into the equation:
[tex]\frac{11+44}{2(11)}[/tex] = [tex]\frac{55}{22}[/tex] or 2.5
Answer:
253
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightStep-by-step explanation:
Step 1: Define
x + 44/2x
x = 11
Step 2: Evaluate
Substitute in x: 11 + 44/2(11)[BPEMDAS] Divide: 11 + 22(11)[BPEMDAS] Multiply: 11 + 242[BPEMDAS] Add: 253If two angles of a triangle have measures of 42° and 20°, what is the measure of the third? A. 118° B. 98° C. 108° D. 128°
Answer: The text also states, “And her friends told her afterwards that she had spoken in a very loud voice, not shouting, just a very loud voice” (p.2). This proves that Celeste took a risk standing up to the teacher in a firm voice; her actions show that she believed the risk of getting in trouble was worth it to stop the Teacher’s unfair punishment.
Step-by-step explanation:
Which is the complete factorization of this expression?
-24x + 64
es =))
A)
8(2x - 8)
B)
-8(X + 8)
-8(3x - 8)
D)
-8(3x + 8)
Answer:
-8(3x-8)
Step-by-step explanation:
factor -8 out of -24x+64
Answer:
-8(3x-8)
Step-by-step explanation:
en la siguiente imagen cuál es la respuesta correcta
Answer:
2.5
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answer:
18 foot ladder will reach at 14.4 feet up the wall.
Step-by-step explanation:
Triangles formed by the ladder against wall and the ground are similar,
ΔABC ~ ΔDEC
Therefore, their corresponding sides will be proportional.
[tex]\frac{AB}{DE}= \frac{BC}{EC}= \frac{AC}{DC}[/tex]
[tex]\frac{AB}{DE}= \frac{BC}{EC}[/tex]
[tex]\frac{18}{10}=\frac{BC}{8}[/tex]
BC = [tex]\frac{18\times 8}{10}[/tex]
= 14.4
Therefore, 18 foot ladder will reach at 14.4 feet up the wall.
Please answer quick! I have a headache and I don't want to do the work.. Giving brainliest to the RIGHT ANSWER.
How many 1/8's are in 25?
Answer:
There are 200 1/8's in 25.
Step-by-step explanation:
If I am thinking of this correctly then there are 200. Basically, what how I interpreted this is that you mean 8 1/8's make up 1. and you need 25 whole 1's. If that is the case the correct answer is 200.
200 1/8. Hope this helps and feel better!
Pier 1 Imports is running a 10% sale on furniture. If Amanda spent $378.99 on furniture before tax, what was the price of the furniture before the discount and tax?
Answer:
$421.10
Step-by-step explanation:
If the discount is 10%, that means the sale price is 90% of the original price.
Write the equation that represents that:
378.99 = 0.9x. Solve for x. Divide both sides by 0.9
378.99/0.9 = 421.10
That is the price before the discount and tax.
In the diagram below of parallelogram ROCK, m angle is 70 degrees and m angle ROS is 65 what is the value of x
Answer:
135
Step-by-step explanation:
The measure of the angle KSO is 135°
What is a parallelogram?A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
Given that, In the diagram below of parallelogram ROCK, m angle is 70 degrees and m angle ROS is 65
We know that, opposite angles of a parallelogram are equal,
Therefore, ∠ ORK = 70°
In triangle, SRO, ∠ ORK and ∠ ROS are interior angles, and ∠ KSO is an exterior angle,
We know, The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
Therefore, ∠ KSO = ∠ ORK + ∠ ROS
∠ KSO = 135°
Hence, The measure of the angle KSO is 135°
For more references on parallelogram, click;
https://brainly.com/question/29147156
#SPJ2
What type of angle is this?
A. Straight angle
B. Supplementary
C. Complementary
The Olympic-size pool at the recreational center is a right rectangular prism 50m long and 25m wide. The pool contains 3000m3 of water. How deep is the water in the pool?
Step-by-step explanation:
50 * 25 = 1250 square meters
3000 / 1250 = 2.4 meters deep
Due to expected droughts, the farmer will only be planting crops on 3/ 4 of this area. How would you correctly calculate the size of this new area? A. the total area multiplied by 4 divided by 3 B. the total area divided by 3 C. the total area divided by 4 D. the total area multiplied by 3 divided by 4 math
Answer:your answer is D.
Step-by-step explanation:
When dividing fractions you must flip the numerator and denominator so that would leave you with 6/1 divided by 3/4, solve this and then you have an improper fraction so after you multiply by 3 you must divide because of the improper fraction and you will divide by 4.
Answer:
d .the total area multiplied by 3 divided by 4
Step-by-step explanation:
.
the total area multiplied by 3 divided by 4
The width of a rectangle is (5x + 2) inches and the length is (6x − 7) inches. Find the area of the rectangle.
Answer:
30x² − 23x − 14Explanation:
Area = Length · WidthLength: (6x - 7)
Width: (5x + 2)
Create An Equation(6x - 7) (5x + 2)
= (6x + −7)(5x + 2)
(6x)(5x) + (6x)(2) + (−7)(5x) + (−7)(2)
= 30x² + 12x − 35x − 14
30x² − 23x − 14- PNW