Answer:
Viktor will have $5,800 in his account after 5 years
Step-by-step explanation:
Compound Interest
It happens when interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Viktor deposits P=$4,300 in an account that earns r=6% interest compounded monthly. Since there are 12 months in a year, n=12. The interest rate is converted to decimal: r=6/100=0.06. The final amount in the account after t=5 years is:
[tex]\displaystyle A=\$4,300\left(1+{\frac {0.06}{12}}\right)^{12*5}[/tex]
[tex]\displaystyle A=\$4,300\left(1.005}\right)^{60}[/tex]
Calculating:
A = $5,800
Viktor will have $5,800 in his account after 5 years
1.6-metre tall man stands 11 m from the base of a tree. He views the top of the tree at an
angle of elevation of 58°. How tall is the tree?
Answer:
17.60mStep-by-step explanation
The set up is a right angled triangle
Given
angle of elevation = 58°
Distance of the man from the tree = adjacent = 11m
Required
Height of the tree h (Opposite)
Using the TOA identity
tan theta = opposite/adjacent
tan 58 = h/11
h = 11tan58
h = 11(1.6)
h = 17.60
Hence the tree is 17.60m tall
an aquarium sells five stuffed animal for 64.95 what is the cost of eight stuffed animal
Answer: 103.92
Step-by-step explanation:
64.95 / 5 = 12.99 (cost of 1 stuffed animal)
12.99 x 8. = 103.92 (cost of 8 stuffed animals)
A new bridge has a weight limit of 3 tons, tiene car weighs 7,900 lbs. Will the besble to drive her
care across the bridge, explain why or why not
Answer:
no
Step-by-step explanation:
3 tons is 3,000 and 7,000 is 7 tons
Use the distributive property to write an expression that is equivalent to 9(c+5).
Answer:
9c + 45
Step-by-step explanation:
The distributive property also known as distributive law of multiplication and division.
In the given expression, distributive law of multiplication is applied where we can multiply first before addition.
Given
9(c+5)
Using distributive property
9(c+5)
= (9 × c) + (9 × 5)
= 9c + 45
9(c+5) = 9c + 45
Raymond is 7.In 3 years,his age will be 5/3 the age of his sister marissa. How old will marissa he in 3 years?
Answer:
6 years oldStep-by-step explanation:
Raymond is 7His sister is xIn 3 years Raymond will be 10, and his sister x + 3:
10 = 5/3(x + 3)x + 3 = 6x = 3Marissa is 3 now and will be 6 in 3 years
helppppppppppppppppp again
Answer:
hola xD
como estas?
Step-by-step explanation:
x=30
six times five =x
At David's Swimwear, 50% of the 36 swimsuit styles are bikinis. How many bikini styles are there?
9514 1404 393
Answer:
18
Step-by-step explanation:
50% × 36 = 0.50 × 36 = 18
There are 18 bikini styles at David's Swimwear.
Answer:
18 bikini styles.
Step-by-step explanation:
Divide 36 by 2.
A line AB joins the points A (3,4) and B (5,8). Write down the coordinates of the midpoint of the line AB
Please help
Thank you
Given:
A line AB joins the points A (3,4) and B (5,8).
To find:
The midpoint of the line AB.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
A line AB joins the points A (3,4) and B (5,8). So, the midpoint of line AB is
[tex]Midpoint=\left(\dfrac{3+5}{2},\dfrac{4+8}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{12}{2}\right)[/tex]
[tex]Midpoint=\left(4,6\right)[/tex]
Therefore, the midpoint of the line AB is (4,6).
Express the ratio 14 inches to 3 feet as a fraction in simplest form
A cable company charges 150 to install equipment. Then there is a $50 charge each month.What is the total cost (start up fee and monthly charge) to use the cell phone plan for 1 month.
Which one of the following does not describe Aaron Burr?
made unwise decisions
was wanted for murder in two states
led the Senate
had a law practice
a brilliant politician
Answer:
Aaron Burr wasn't a brilliant politician.
Step-by-step explanation:
Aaron Burr was an American politician and the third Vice President of the United States from 1801 to 1805. In 1800, he ran for the Democratic-Republicans with Thomas Jefferson. Jefferson was supposed to be president and Burr vice president, but the then presidential election rules gave Jefferson and Burr equal votes in the Electoral College, and the election was ultimately decided in the House of Representatives. There, it were Jefferson and Burr's political rivals, the Federalists, who made the difference. Alexander Hamilton, the leader of the Federalists, eventually urged his party to back Jefferson, which helped make Hamilton and Burr deadly rivals. Burr had to settle for vice president under Jefferson.
On July 11, 1804, Burr challenged Hamilton to a duel in which Burr would fire the deadly shot. Burr was charged with murder in two states, but never prosecuted. After a short flight south, Burr returned to Washington to serve his term as vice president.
After his term, Burr was suspected of involvement in a plot to create a separate republic in the then Southwestern US, headed by himself. For this he was arrested in 1807. He was tried for treason but was acquitted. After a stay abroad, Burr returned to New York in 1812 and resumed his career as a lawyer. He died in 1836 at the age of eighty and was buried in Princeton, New Jersey.
At Trace State Park in Mississippi, there is a 40-mile mountain bike trail. Tommy rode 1/2 of the trail on Saturday and 1/4 of the trail on Sunday. He estimates that he rode more than 22 miles over the two days. Is Tommy’s estimate reasonable? Justify your reasoning !
Answer: 17.5 out of 25
I hope this helped
Step-by-step explanation:
I need to solve for x
Answer:
mAB = 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
Set up equation.
mAB + mBC = mAC
x + 4 + 4 = 3x + 2
Step 2: Solve for x
Combine like terms: x + 8 = 3x + 2Isolate x terms: 8 = 2x + 2Isolate x term: 6 = 2xIsolate x: 3 = xRewrite: x = 3Step 3: Find AB
Define: mAB = x + 4Substitute in x: mAB = 3 + 4Add: mAB = 72) You have 4 Dragon Ball Z drawings and 5
Pokemon drawings. Your brother has the same
ratio of Dragon Ball Z to Pokemon drawings,
only he has 10 Dragon Ball Z drawings. How
many Pokemon drawing does he have? Show
your work. (Hint, you can have a fraction of a
drawing if it is part way done).
Answer:
4z:5p
4+5=9
10/9=1.11111...
1.11111*5=5.55555......or 50/9 or 5 5/9
Step-by-step explanation:
Answer:
guess what I don't know
Step-by-step explanation:
please help me on this! will give u brainliest tyy.
Answer:
A. The balloon is at its initial height
B. The boxer is 0 pounds from her starter weight
C. The company's size is smaller
Step-by-step explanation:
For A, -30+30 is equal to 0 so its gonna be the same height it was before.
For B, Gaining 7 pounds and losing 7 pounds means you are neither bitter or smaller. (-7+7=0)
For C, Losing 15 employees and gaining none means that there are less than there were previous meaning the company is now smaller.
Hope this helps.
Round 75 to the nearest ten.
Round 92 to the nearest ten.
Multiply the rounded numbers.
Product
PLEASE HELP I KINDA FORGOT HOW TO ROUND
Answer:
75>80
92>90
80×90=7,200.
what is the ratio of feet to inches on a measuring tape
Answer:
its multipled by 12
Step-by-step explanation:
Answer:
1 ft = 12
Step-by-step explanation:
The length in inches is equal to the feet multiplied by twelve
Please helppppppppppp
Answer:
21.92
Step-by-step explanation:
division
87.68 ÷ 4
Answer:
The answer is 21.92
Step-by-step explanation:
87.68 divided by 4
There is 4 people and the total is $87.68
MARKING BRAINLIESTTT WHOEVER IS THE FIRST TO ANSWER AND GE IT RIGHT
Answer:
D is most possible or b either one
Step-by-step explanation:
BTW dont expect take my info to seriously but D or B
Which of these is a unit rate? (from time4learning)
(A). $3.50 for 2 gallons of juice
(B). $5.00 for 3 pounds of cheese
(C). $4.25 for 1 watermelon
(D). $2.75 for 6 hamburger rolls
Answer:
B
Step-by-step explanation:
Which of the following functions is graphed below?
A. Y=[x] -7
B. y=[x] +7
C. y=[x] +5
D. y=[x] -5
There's so many numbers in this one shape I'm confused ._.
Answer:
12 [tex]units^{2}[/tex]
Step-by-step explanation:
All you have to do is do each shape then add them all up
small triangle:
a = b * h/2
a = 2 * 2/2
a = 4/2
a = 2
The area for the small triangle is 2
Sqaure:
a = b*h
a = 2*2
a = 4
The area for the sqaure is 4
Large triangle:
a = b*h/2
a = 6*2/2
a = 12/2
a = 6
The area for the larger square is 6
Now we add up all of the areas
2 + 4 + 6 = 12
The area for that shape is 12 [tex]units^{2}[/tex]
Hint: We divide by 2 for the triangles bc it's half a shape not a full rectangle of square...
Hope this helped!
Divide. Write your answer as a fraction or mixed number in simplest form.
-15/7 ÷ 18/35
Answer: -4 1/6
Step-by-step explanation:
-15/7 ÷ 18/35
-15/7 x 35/18
-5 x 5/6
-25/6
-4 1/6
Colin buys a car for £6000.
It depreciates at a rate of 6% per year.
How much will it be worth in 4 years?
Give your answer to the nearest penny where appropriate.
Answer:
4684.5
Step-by-step explanation:
6000 * (1 - 6%)4 = 4684.5 (1.d.p)
what is the meaning of the slope in this situation?
Answer:
add a photo please do we can help you better
Answer:
The picture is non-existent
Here are four numbers.
0.43 3/7 43.8% 7/16
Write these numbers in order of size.
start with the smallest number.
First convert all th fractions into decimal :
3/7 =0.428
7/16=0.4375
0.43=remain same (already given in decimal form)
43.8%=0.438
now arrange them in one row (horizontally) then it will be easy to arrange it.
0.428 , 0.4375 , 0.43 ,0.438
=0.428 , 0.43, 0.4375 ,0.438
= ans) 3/7, 0.43, 7/16, 43.8%
Mason invests £1500 at 2.5% per year compound interest.
Work out the value of Mason's investment at the end of 3 years.
I know the answer is 1615.34 I need the working out :/
Step-by-step explanation:
1500(1+2.5/100)^3
or do 100+2.5=102.5
102.5÷100=1.025
1500×1.025^3
can some one help me. btw the answer is not C.
Answer:
A
Step-by-step explanation:
Given
x² + 6x
To complete the square
add ( half the coefficient of the x- term )² to x² + 6x
x² + 6x + (3)²
= x² + 6x + 9
= (x + 3)²
plz help me out with this
Answer:
B and a great deal on a spring break and a good time to get answer for the spread of Islam in the Horn of the following elements has your examination and your
One of the angles of a triangle is 8 deg more than 5 times another angle. If the third angle is 4 deg larger than the difference of the first two angles, find the angles.
Answer:
[tex]16^\circ, 88^\circ, 76^\circ[/tex]
Step-by-step explanation:
Given a triangle.
One of the angles is [tex]8^\circ[/tex] more than 5 times of one angle.
Third angle is [tex]4^\circ[/tex] more than the difference of two angles.
To find:
The angles.
Solution:
Let the first angle = [tex]x^\circ[/tex]
As per question statement, second angle = 5[tex]x^\circ[/tex] + [tex]8^\circ[/tex]
And third angle = 5[tex]x^\circ[/tex] + [tex]8^\circ[/tex] - [tex]x^\circ[/tex] + [tex]4^\circ[/tex] = [tex](4x+12)^\circ[/tex]
Using triangle sum property that the sum of all the internal angles of a triangle is always equal to [tex]180^\circ[/tex].
[tex]x+5x+8+4x+12 = 180\\\Rightarrow 10x+20=180\\\Rightarrow 10x = 160\\\Rightarrow x = 16[/tex]
Therefore, the first angle = [tex]x^\circ = 16^\circ[/tex]
The second angle = [tex]5x+8 = 5 \times 16 + 8 = 80+8 = 88^\circ[/tex]
The third angle = [tex]4x+12 = 4\times 16 + 12 = 76^\circ[/tex]
Therefore, the angles are [tex]16^\circ, 88^\circ, 76^\circ[/tex].
