Answer:
16 years
Step-by-step explanation:
Annual interest payment is 7% * 320k = 22,400
Total interest is 678400-320000=358400
358400/22400=16
The number of years that it takes to pay off the loan will be 16 years.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The formula for interest is written as,
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
A new business borrows $320,000 at a yearly simple interest rate of 7%. The total amount the company repays for the loan and interest is $678,400. Then the equation is given as,
P + I = A
$320,000 + ($320,000 x 7 x T) / 100 = $678,400
$22,400 T = $358,400
T = 16 years
The number of years that it takes to pay off the loan will be 16 years.
More about the simple interest link is given below.
https://brainly.com/question/2793278
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Need help with this trigonometry word problem
From the top of the tower 30 m height a man is observing the base of a tree at an angle of depression measuring 30 degree. Find the distance between the tree and the tower.
Please show your work
Answer:
30√3 m ≈ 52 m
Step-by-step explanation:
The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. The long leg of the triangle is √3 times 30 m, or about 51.96 m.
The distance between the tree and the tower is about 30√3 m ≈ 52 m.
__
If you haven't memorized the ratios of this special triangle, you can use the relation ...
Tan = Opposite/Adjacent
tan(30°) = 30/d
d = 30/tan(30°) = 30√3 = 51.96 . . . . same as above
need help on my geomrty homework
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
You like to lift weights!!!!
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Solve the equation. -3x+2x=8
Answer:
= − 8
Step-by-step explanation:
Combine like terms
Divide both sides of the equation by the same term
Simplify
Last question on my assignment need help. Find x.
Answer:
I think it would be 20 hope it helps and good luck
Step-by-step explanation:
Answer:
i think its at 21
Step-by-step explanation:
8 + (7 + 1)2 + 4
Can you help me find the answer to this one.
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
8+(7+1)2+4=
8+(8)×2+4=
8+16+4=
28
ps:Can I be brainliest.Have a nice day.Best regards
What is 1/2 to the power of 5??
Answer:
1/32
Step-by-step explanation:
Help...please I need this fast
Answer:
sorry I'm not the best with math and sorry if I just waisted your time... :)
Write an equation in point-slope form of the line through point J(9,-8) with slope 2. y + 8 = 2(x 9) b. y + 8 = 2(3-9) 1 + 8 = 2(x +9) d. 1 - 8 = 2(x + 9)
Answer:
y +8= 2(x-9)
Step-by-step explanation:
One scoop of ice cream weighs
about 3 ounces. Last Thursday the
ice-cream parlor used 18 pounds of
ice cream. About how many scoops of
ice cream were served last Thursday?
Answer:
96 scoops
Step-by-step explanation:
First, Convert 18 pounds to ounces and that is 288 ounces
Next, Divide 288/3=96
Draw a conclusion is the statment below always, sometimes, or never true ? Bive at least two examples to support your reasoning. The lcm of two numbers is the product of the two number discuss your conclusion with a partner
Answer:
Sometimes
Step-by-step explanation:
Example 1:
Take two numbers as [tex]7,8[/tex]
LCM of [tex]7,8=7(8)=56[/tex]
In this case, the lcm of two numbers is equal to the product of the two numbers.
Example 2:
Take two numbers as [tex]6,3[/tex]
[tex]6=3(2)[/tex]
So,
LCM of [tex]6,3=3(2)=6[/tex]
In this case, the lcm of two numbers is not equal to the product of the two numbers.
Therefore,
Sometimes, the lcm of two numbers is equal to the product of the two numbers.
the elevator at an old hotel has a weight limit of 1200 pounds. Assume the average person weighs 150 pounds and has a 10 pound luggage. What is the greatest amount of people that can ride the elevator at the same time
A: 7 people
B: 9 people
C: 11 people
D: 13 people
Which statements about the graphs of functions g(x) = −1/4x^2 and f(x) = x2 are true? Select all that apply.
A. g is wider than f.
B. f and g open in the same direction.
C. f and g have the same vertex.
D. f and g have the same axis of symmetry.
Answer: c and d
Step-by-step explanation:
A function assigns the values. The correct options are A, C, and D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The statements that are true about the two functions g(x)=(−1/4)x² and f(x)=x² are,
A. g is wider than f.
C. f and g have the same vertex.
D. f and g have the same axis of symmetry.
Hence, the correct options are A, C, and D.
Learn more about Function:
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What is the solution to the system of equations?
x = -4y
3x + 2y = 20
Answer:
(x, y) = (8, -2)
Step-by-step explanation:
Substitute:
3(-4y) + 2y = 20
-12y + 2y = 20
-10y = 20
y = -2
x = -4(-2) = 8
7a + b - 12 wich is the coefficient?
R15,50 for 5kg , how much for 1 kg
Answer and Step-by-step explanation:
Divide both numbers by 5kg to know how much R is for 1 kg.
[tex]\frac{15.50}{5}[/tex] = 3.1.
It is 3.1 for 1 kg.
#teamtrees #PAW (Plant And Water)
The Bigtown football team outscored its opponents 5:2 last season. If their opponents scored 38 points, how many points did Big Town score? (Hint: Bigtown is first in the ratio)
Answer:
95 points
Step-by-step explanation:
Let P = Big Town's points
5/2 = P/38
2P = 190
P = 95 points
Need this !!!! Badly
Answer:
78
Step-by-step explanation:
Work out the volume of this cylinder? 12m height and 5m radius
Answer:
942m³
Step-by-step explanation:
π×radius²×height
π×5²×12=942.4777961m²
to 3sf it's
942m³
3 significant figures is 3 numbers.
Question :-
What is the volume of a cylinder with a radius of 5 m and a height of 12 m?Answer :-
The volume of a cylinder is 942 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5 \: m}}\put(9,17.5){\sf{12 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 5 meters. The height of a cylinder is 12 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(5 \: m)^2(12 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(25 \:m^2)(12 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (78.5 \:m^2)(12 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 942 \: m^3}[/tex]
Therefore :-
The volume of a cylinder is 942 m³.[tex]\\[/tex]
Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979
Have a great day! <33
what is the area of the figure below
Answer:49.5
Step-by-step explanation:
Since all sides of a square are equal, multiply 6 x 6. Then multiply 6 times 4 1/2 then divided by 2. Now add everything together. Hopefully this helps :)
Miles read 4 books in the first half of March. By the end of March, the library had added Miles to the top-readers board for reading more than 10 books in a month.Let x represent how many books Miles read in the second half of March. Which inequality describes the problem?
Answer:
[tex]x>6[/tex]
Here, [tex]x[/tex] denotes number of books read by Miles in the second half of March
Step-by-step explanation:
Given: Miles read 4 books in the first half of March.
Also, Miles read more than 10 books in a month.
[tex]x[/tex] denotes number of books read by Miles in the second half of March.
To find: inequality that describes the problem.
Solution:
Total number of books read in month of March = Number of books read by Miles in the first half of March + Number of books read by Miles in the second half of March = [tex]4+x[/tex]
Also, Miles read more than 10 books in a month.
Therefore,
[tex]4+x>10\\x>10-4\\x>6[/tex]
What is the value of f(-3) when f(x)=5(2)
Answer:
a) 5/8
Step-by-step explanation:
f(-3) when f(x)=5(2)^x just replace the x with -3
f(x)=5(2)^x = 5 (2)^-3 we find the 3rd power of 2 first which means multiply 2 with itself 3 times
2×2×2 = 8 but here, it asks us for negative third power of 2 so we turn the 8 upside down :
if 2^3 = 8 then 2^-3 = 1/8 and now we multiply it with 5
5 × 1/8 = 5/8
.
Sydney has a points card for a movie theater,
She receives 35 rewards points just for signing up.
She earns 5.5 points for each visit to the movie theater,
She needs at least 90 points for a free movie ticket.
Which inequality can be used to determine w, the minimum number of visits Sydney
needs to earn her first free movie ticket?
Answer:
35+5.5w>90
Step-by-step explanation:
35+5.5x>90
it would be this sign > but with a line under it..the amount of points she racks up can be greater or equal to 90
a real number between √13 and √14
Answer:
3.7
Step-by-step explanation:
Luis saved 5/8 of his pay. What percent of his pay did he save?
Subject:Mathematics
Answer:
true sorry if wrong im not the best at this type of math but im average
Step-by-step explanation:
for the system {3x-2y=4, 4x-3y=7,
which is the solution to the system?
A. (-2, -5)
B.(2, -5)
C.(-2,5)
D. (2,5)
Answer:
x=-2 y=-5
Step-by-step explanation:
can I get help pls :')
Answer:
1.a: 6x = y
1.b: 7 packs
Step-by-step explanation:
1.a: there are 6 cups per can so if you multiply it for each can, you get the cups.
1.b: there are 16 cups per gallon. Packs of 4 cans so in total, there are 24 cups in total. So there are 1.5 gallons per pack. 1.5x6 = 90 so that's no enough. 1.5x7 = 10.5. That's more than enough but she can't split the pack so she needs to buy 7 packs.
Solve for c, giving brainliest. please show your work/explain, i got to the point of square rooting 185, but i don't understand where to go from there if it cannot be simplified. Thanks.
Answer:
13.6 in (mrs clark)
Step-by-step explanation:
a²+b²=c²
16 + 169 = c²
c² = 185
c ≈ 13.6
Need help with answers
Please help me please please