Answer:
52.35-1.58= 50.77
Step-by-step explanation:
A loan of $36,000 is made at 6.75% interest, compounded annually. After how many years will the amount due reach $57,000 or more?
Answer:
After 7.04 years the amount will reach $57,000 or more
Step-by-step explanation:
The rule of the compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex] , where
A is the new valueP is the initial valuer is the rate in decimaln is the period of the timet is the time∵ A loan of $36,000 is made at 6.75% interest, compounded annually
∴ P = 36,000
∴ r = 6.75% = 6.75 ÷ 100 = 0.0675
∴ n = 1 ⇒ compounded annually
∵ The amount after t years will reach $57,000 or more
∴ A = 57,000
→ To find t substitute these values in the rule above
∵ 57,000 = 36,000 [tex](1+\frac{0.0675}{1})^{(1)(t)}[/tex]
∴ 57,000 = 36,000 [tex](1.0675)^{t}[/tex]
→ Divide both sides by 36,000
∵ [tex]\frac{19}{12}[/tex] = [tex](1.0675)^{t}[/tex]
→ Insert ㏒ in both sides
∴ ㏒( [tex]\frac{19}{12}[/tex] ) = ㏒ [tex](1.0675)^{t}[/tex]
→ Remember ㏒[tex]a^{n}[/tex] = n ㏒([tex]a[/tex])
∵ ㏒( [tex]\frac{19}{12}[/tex] ) = t ㏒(1.0675)
→ Divide both sides by ㏒(1.0675)
∴ 7.035151337 = t
∴ t ≅ 7.04
∴ After 7.04 years the amount will reach $57,000 or more
what is (20 squared) x (56)/ 85 x 18/5 - 89 x 38.67=?
pls help it is timed
Answer:
-2492.92 to the nearest hundredth.
Step-by-step explanation:
20^2 * 56/85 * 18/5 - 89 * 38.67
= (400 * 56 * 18) / (85* 5) - 3441.63
= (80 * 56 * 18) / 85 - 3441.63
= 80640 / 85 - 3441.63
= 948.706 - 3441.63
= -2492.92
The rate StartFraction 450 pounds Over 25 buckets EndFraction describes the relationship between the number of buckets and the weight of the lobsters in the buckets. What is the weight of one bucket of lobsters?
Answer:
18
Step-by-step explanation:
divide 450 over 25 to get 18
Answer:
18
Step-by-step explanation:
In rhombus FGHJ, m∠1=43°.
What is m∠2?
Answer:
that first guy its trash. The real answer is 47
Step-by-step explanation:
It is 47 because the rhombus ia making 4 triangles which are all the same shape, meaning all triangles make up 180 degress. we see one angle is 90 degrees since the four trianglea meet at tue middle. so we subtract 43 degrees from 90 which makes 47 degrees.
0
Explain how to use a graph of the function f(x) to
find f(3)
Answer:
Step-by-step explanation:
f(3) is another notation for x = 3
on a graph, find 3 on the x axis then move up or down to find its y value
I really need the answer to this
Answer:
Y inter=4
Slope= -5/2
Step-by-step explanation:
First find the slope y1-y2/x1-x2
Find two points (0,4) and (2,-1) Subtract 4-(-1)/0-2
-5/2 The y intercept is 4 because thats where x is 0
So the the equation is y=-5/2x+4
Where -5/2 is slope and 4 is Y intercept
PIHLDF sala de among us entren
Answer:
i dont speak spanish
Step-by-step explanation:
Answer:
what haaaaaaaaaaaaaaaaaaaaaaa
Step-by-step explanation:
lllllllllllloooooooooooooooolllllllllllllllllll
A map is drawn to scale so that a length of 1 centimeter on the map represents an actual distance of 3
kilometers. If two towns are 20 centimeters apart on the map, what is the actual distance between the two
towns?
Answer:
60 kilometers
Step-by-step explanation:
1 centimeter = 3 kilometers
20 × 3 = 60
hjbkjbkjbkjbjbjbjbjb
Answer: ok ok
Step-by-step explanation:
Simplify this expression. 67 ÷ 65
Answer:
it should be 67/65 or if in mixed number form : 1 2/65
Answer:
Exact Form:
67/65
Decimal Form:
1.03076923…
Mixed Number Form:
1 2/65
Step-by-step explanation:
Please help find the missing angle measures
Answer:
127
Step-by-step explanation:
(n-2)180
(5-2)180
=540 for total angle
540-90(3)-143
=127
pls anwer quick, i need this before tomorrow
Fulton Gardens buys 6,300 flower bulbs. If 70 bulbs can be planted in each flower bed, how many flower beds are needed to plant all the bulbs.
Answer:
90
Step-by-step explanation:
6300/70
=90 flower beds
PLS GIVE BRAINLIEST
What is the Sine of 0?
Answer:
0
Step-by-step explanation:
Next consider another way of saying exactly the same thing, but by describing the angle itself and the unit circle, not just the triangle. There is no vertical component of the angle: The vertical component of the angle is 0, so, the sine of 0° is 0.
Answer
by describing the angle itself and the unit circle, not just the triangle. There is no vertical component of the angle: The vertical component of the angle is 0, so, the sine of 0° is 0.
Step-by-step explanation:
The person at (0, 1) needs a bottled water. He moved to the right on a slope of -4. Where can you find him to give him the water he ordered?
Answer:
cjsbg sorry
Step-by-step explanation:
not haha
The sum of four times a number and 5 gives a number five times of it.
Answer:
5
Step-by-step explanation:
4x +5= 5x
Then solve the linear eqn
The area of a triangle reduced by the area of the semicircle is ( 48 - 2π ) square meters. The base of the triangle is 12 meters. Find the height of the triangle and radius of the semicircle.
Answer:
The height of the triangle is 8 meters and the radius of the semi-circle is 2 meters
Step-by-step explanation:
The area of a triangle = [tex]\frac{1}{2}[/tex] × b × h, where
b is the length of the baseh is the length of the heightThe area of a semi-circle = [tex]\frac{1}{2}[/tex] π r², where
r is the length of the radius∵ The area of the figure = Area Δ - Area semicircle
∵ The area of the figure = [tex]\frac{1}{2}[/tex] × b × h - [tex]\frac{1}{2}[/tex] π r²
∵ The base of the triangle is 12 meters
→ Substitute it in the area of the figure above
∴ The area of the figure = [tex]\frac{1}{2}[/tex] × 12 × h - [tex]\frac{1}{2}[/tex] π r²
∴ The area of the figure = 6h - [tex]\frac{1}{2}[/tex] π r²
∵ The area of the figure = 48 - 2 π
→ Equate the two expressions of the area of the figure
∴ 6h - [tex]\frac{1}{2}[/tex] π r² = 48 - 2 π
→ Equate the like terms of the two sides
∵ 6h = 48
→ Divide both sides by 6 to find h
∴ h = 8
∵ - [tex]\frac{1}{2}[/tex] π r² = -2 π
→ Divide both sides by -π
∴ [tex]\frac{1}{2}[/tex] r² = 2
→ Multiply both sides by 2
∴ r² = 4
→ Take √ for both sides
∴ r = 2
The height of the triangle is 8 meters and the radius of the semi-circle is 2 meters
Round 1,627,187 to nearest ten
Answer:1,627,190
Step-by-step explanation:
Answer:
1,627,190
Step-by-step explanation:
:D
Help pleaseeeeee I suck at geometry.
Answer: 21. Perimeter = 48 22 . Perimeter= 36 23. Perimeter= 72
Step-by-step explanation:
First you need to find the side length using the area of each of the squares. We know that to find the area of a square you will have to square one of the side lengths, that means that to find the side length, we will need to find the square root of the area.
21 . Find the square root of 144.
[tex]\sqrt{144}[/tex] = 12
The side length is 12 so multiply it by 4 to find the perimeter because the perimeter is the distance around the shape. All the side length's of a square are the same and there four sides so multiply it by 4 to find the perimeter.
Perimeter = 12 * 4
Perimeter = 48
22. The same thing with this one, find the square root and multiply the side length by 4.
[tex]\sqrt{81}[/tex] = 9
Perimeter = 9 *4
Perimeter = 36
23. [tex]\sqrt{324}[/tex] = 18
Perimeter = 18 * 4
Perimeter = 72
Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality shows the minimum number of hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank?
Answer:
D (9n ≤ 80 + 8, so n ≤ 9.8)
Step-by-step explanation: cause i got right answer
Which line is PARALLEL to the line 5x - 2y = 18?
Answer:
y = 9 + 5/2x. this is in standard form (y = mx + b)
What is the inverse of fx) =
-x+ 2?
O h(x) =
) = 4x+2
O h(x) = = -x-2
3
O h(x) = 3x - 2
h(x) = 3x - 6
Note: Your statement and answer options are a little ambiguous, so I am assuming you want to determine the inverse of f(x)=-x+2.
As the process is the same, so it would still clear your concept.
Answer:
[tex]\mathrm{Inverse\:of}\:-x+2:\:\:2-x[/tex]
Step-by-step explanation:
Given the function
[tex]f(x)=-x+2[/tex]
We know that a function h is the inverse function of f if for y=f(x), x=h(y)Determining the inverse
[tex]y=-x+2[/tex]
Replace x with y
[tex]x=-y+2[/tex]
solve for y
[tex]y=2-x[/tex]
Therefore,
[tex]\mathrm{Inverse\:of}\:-x+2:\:\:2-x[/tex]
Many businesses and organizations insist that official communications use professional-looking fonts, such as Times New Roman. Fonts characterized as less professional, such as Comic Sans, should be avoided. A student would like to determine if font choice makes a difference in the average grade on a typed response in English classes. There are currently four English classes available from which the student can collect data, and each class has a similar writing assignment. The student considers two methods for collecting data.
Method A: At the start of the assignment, students choose a font, either Times New Roman or Comic Sans, and then complete the assignment.
Method B: At the start of the assignment, students are randomly assigned one of two fonts, either Times New Roman or Comic Sans, and then complete the assignment.
In both methods, the teachers grade the papers received, and the mean grade for each font is determined.
Which method describes an experiment?
Method A is an experiment because the students choose their own font.
Method B is an experiment because the students are randomly assigned a font.
Both methods describe experiments because both fonts are used on the assignment.
Neither method describes an experiment because a third font should be included for comparison.
Answer:
The answer is B.)
Step-by-step explanation:
I'm taking the test now
WHAT ARE THE FACTORS OF 57
how many ways can a chairperson and a vice chairperson be selected from a committee of 25 senators?
Answer:
hey I gess it can help you.
THE VICE CHAIRPERSON CAN BE SELECTED BY 1 OR 29 CANDIDATES OR. 1/30*1/29=1/870 OR 870 POSSIBLE DIFFERENT SELECTIONS.
what is ─7g + 5 = 2 – g – 7g solved to the variable???
Answer:
g = -3
Step-by-step explanation:
-7g + 5 = 2 – g – 7g
Combine like terms
-7g + 5 = 2 -8g
5 = 2 + -g
3 = -g
-3 = g
Together Kris and Julio scored 40 points in the game. Julio scored 3 times as many points as Kris this time. How many points did Kris and Julio each score?
If every 1 in 20 plants will not bear fruit. If 200 plants are planted, how many will produce fruit?
Answer:
Step-by-step explanation:
If 1 /20 will not bear fruit then
19/20. Will bear fruit
use ratio method
19/20 = x/200
find x by finding an equivalent fraction
x = 190
190 plants will produce fruit
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Four hundred and eighty feet of fencing is used.
Find the dimensions of the playground that maximize the total enclosed area. What is the maximum area?
The smaller dimension is ? feet
Answer: h = 120 ft; w = 80 ft
A = 9600 ft^2
Step-by-step explanation: Let h and w be the dimensions of the playground. The area is given by:
A = h*w (eq1)
The total amount of fence used is:
L = 2*h + 2*w + w (eq2) (an extra distance w beacuse of the division)
Solving for w:
w = L - 2/3*h = 480 - 2/3*h (eq3) Replacing this into the area eq:
We derive this and equal zero to find its maximum:
Solving for h:
h = 120 ft. Replacing this into eq3:
w = 80ft
Therefore the maximum area is:
A = 9600 ft^2
Raghav has to load 2456 cartons of apples equally in 5 trucks. how many cartons will be left unloaded in the end?
Answer:
12,280
Step-by-step explanation:
just do 1456×5 :))