$15300
Second year:$15606
Step-by-step explanation:First year:300 is 2% of 15000, so we add that. The result we have is $15300.
Second year:306 is 2% of 15300, so we add that to the original value. The result is $15606.
Side note:
All you need to know is the Interest Rate Formula: [tex]p(1+r/100)^n[/tex]. By the way, that's the simple compound interest rate formula. The simple interest rate formula is [tex]p+(r/100)^n[/tex].
Unit rate $46 for 5 toys
Answer:
$9.20
Step-by-step explanation:
you divide 46 by 5 and you get 9.20
Answer:
9.50
Step-by-step explanation:
$46 divided by 5 which equals $9.50
Adding with missing numbers Grade 6 Addition Worksheet Find the missing numbers. + 91 + 5623 + 911 = 6630
Step-by-step explanation:
let the no. be x
x+91+5623+911=6630
or,x+6625=6630
or,x=6630-6625
ans=5
Find the radian measure of the central angle.
Answer:
in radian measure
theta=length of arc /radius
so a=l/r
a=56/70
a=4/5
Step-by-step explanation:
a= theta angle in radian
what is
3. {Review} 8 x 9 = *
4. {Review} 12 x 4 = *
5. {Review} 7 x 8 = *
6. {Review} 6 x 3 = *
7. {Review} 9 x 5 = *
8. {Review} 6 x 8 = *
9. {Review} 27 ÷ 3 = *
10. {Review} 36 ÷ 6 = *
11. {Review} 132 ÷ 12 = *
12. {Review} 110 ÷ 11 = *
13. {Review} 28 ÷ 4 = *
14. {Review} 35 ÷ 7 = *
Answer:
3. 72
4. 48
5. 56
6. 18
7. 45
8. 48
9. 9
10. 6
11. 11
12. 10
13. 7
14. 5
Please answer ASAP question is in pic^
Answer:
Step-by-step explanation:
Original equation
√x+6-4 = x
Isolate
√x+6 = 4+x
Raise both sides to the second power
(√x+6)2 = (4+x)2
After squaring
x+6 = x2+8x+16
Rearranged equation
x2 + 7x + 10 = 0
This equation has two rational roots:
{x1, x2}={-2, -5}
Original equation, root isolated
√x+6 = 4+x
Plug in -2 for x
√(-2)+6 = 4+(-2)
Simplify
√4 = 2
Solution checks !!
Solution is:
x = -2
Original equation, root isolated
√x+6 = 4+x
Plug in -5 for x
√(-5)+6 = 4+(-5)
Simplify
√1 = -1
Solution does not check
1 ≠ -1
how to solve 8 – 6 ∙ 4 + 10 ÷ 2 =
Answer:
3
Step-by-step explanation:
apply the BODMAS method
Evaluate m^2 -4m+2 for m =-2
Answer:
answer is 6
Step-by-step explanation:
m^2 - 4m + 2
-2(2) - 4(-2) + 2
-4 + 8 + 2
-4 + 10
6
length of the ribbon is 120 M. what is the length of 7/15 of the ribbon?
Answer:
56 M
Step-by-step explanation:
Reduce fractions to their lowest terms equivalents
Multiply the numerators and denominators of the fractions separately
[tex]\frac{7}{15}[/tex] * 120 = convert to fraction
[tex]\frac{7}{15}[/tex] * [tex]\frac{120}{1}[/tex] = convert to fraction
[tex]\frac{7 * 120}{15}[/tex] = apply fraction rule [tex]\frac{a}{b}[/tex] * [tex]\frac{c}{d}[/tex] = [tex]\frac{a * c}{b * d}[/tex]
[tex]\frac{7 * 120}{15 *1}[/tex] = apply rule a * 1 = a 15 * 1 = 15
[tex]\frac{120}{15}[/tex] = 8 divide the numbers
7 * 8 = 56 multiply the numbers
You need to buy a carpet that measures 7.5 yards long and 5 yards wide and costs $49.50 per square yard. How much will the carpet for the room cost?
Answer:
$1,856.25
Explanation:
To find the square yards, multiply length and width
7.5 * 5 = 37.5
Then, since each square yard costs $49.50, multiply the square yards and the cost
37.5 * 49.50 = 1,856.25
Thus the answer is $1,856.25
The carpet for the room will cost $1,856.25.
This is the product of the unit cost per square yard multiplied by the area of the room.
The area of the room is = 37.5 square yards (Length x Width)
Length of the room = 7.5 yards
Width of the room = 5 yards
Therefore, the total area of the room = 37.5 square yards (7.5 x 5)
Thus, the total area of the room is 37.5 square yards and since each square yard costs $49.50, the total cost for buying the carpet will cost $1,856.25 ($49.50 x 37.5).
Learn more about area of a space at https://brainly.com/question/16758524
Fiona drove 489.75 miles on the freeway without any break. She took 7.5 hours. How
much was her average speed for the trip?
Subtract: (4x3 + 9xy + 8y) – (3x3 + 5xy – 8y)
(4x³ + 9xy + 8y) - (3x³ + 5xy - 8y) =
= 4x³ + 9xy + 8y - 3x³ - 5xy + 8y =
= 4x³ - 3x³ + 9xy - 5xy + 8y + 8y =
= x³ + 4xy + 16y ← the end answer
What is m∠A? ???????
Answer:
A=124°
Step-by-step explanation:
5x - 5 = 180
5x = 185
x = 37
A=124
The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number?
-2
-4
2
Answer:
n = 2; the number equals two
Step-by-step explanation:
n/2 = 2n - 3
2/2 = 2(2) - 3
1 = 4 - 3
1 = 1
n = 2
Evarado paid $1.12 for a doszen eggs at his local grocery store. Determine the cost of the eggs
Answer:
of a single egg or?
Step-by-step explanation:
n - 5.5 = 8.3 please help ASAP
Answer:
= 2.8
Step-by-step explanation:
8.3 - 5.5 = 2.8
= 2.8
Consider the function f whose graph is shown below. Find f(-2)
Answer:
Step-by-step explanation:
See the picture below
Through calculations, Jack and Kelsey estimated the diameter of the fountain in the park. If the actual length is 15 feet, which student's estimate is more accurate? Explain your reasoning.
Answer:
cual es? ósea la pregunta?
four cities lie along a straight highway in this order city a, city, city c, city d. The distance from city a to city b is 5 times the distance from city b to city c. The distance from city a to city d is 2 times the distance from city a to city d. the distance between city d and city c is 10 miles. What are the distances between the cities?
Dividing the segments and finding the lengths, it is found that the distance between the two cities is of 130 miles.
--------------------------------
We want to find the distance between cities a and d.Due to the cities along the highway, the distance is given by:[tex]ad = ab + bc + cd[/tex]
--------------------------------
The distance from city a to city b is 5 times the distance from city b to city c, and thus:[tex]ab = 5bc[/tex]
In terms of x, [tex]bc = x, ab = 5x[/tex]
--------------------------------
The distance from city b to city c is 2 times the distance from city c to city d, and thus:[tex]bc = 2cd[/tex]
In terms of x, [tex]cd = \frac{x}{2}[/tex]
--------------------------------
The distance between city d and city c is 10 miles, thus:[tex]\frac{x}{2} = 10[/tex]
[tex]x = 20[/tex]
--------------------------------
The other distances are:[tex]bc = x = 20[/tex]
[tex]ab = 5x = 5(20) = 100[/tex]
--------------------------------
The distance between cities a and d is:[tex]ad = ab + bc + cd = 100 + 20 + 10 = 130[/tex]
The distance between the two cities is of 130 miles.
A similar problem is given at https://brainly.com/question/24352869
A store advertises “buy one, get one half-off" for a new pair of figure skates. If the skates originally cost
$88, how much would you pay for 10 pairs
A store advertises,
"Buy one and get one half off"
Which means if we buy one, half the price of one will be discounted.
In other words "50% discount on each item we buy"
We will $440 for 10 skates.
Original cost of skates = $88
After 50% discount price of one skate = $88 - $44 = $44
Cost of 10 pairs of skates = 44 × 10
= $440
Therefore, we will pay $440 for 10 skates.
Learn more,
https://brainly.com/question/11823881
If a and b are natural numbers, then which of the following must also be a natural number?
Answer:
please give options for answer.
List all the elements of the following set. Use set notation and the listing method to describe the set. { 2,4,8,...,256}
All the elements of the given set {2,4,8,...,256} are - {2, 4, 8, 16, 32,64, 128, 256} that are total 8 in numbers.
The set is formed by the number of objects in a particular manner, these objects are called elements of the set. The elements of the set are written inside a curly bracket separated by a comma in a particular or specific order.
There are two methods to represent the set and its elements that are:
Set notation: define the elements and properties of sets using symbols that help in describing the relationship between elements in the set.in this case, {[tex]2^{1},2^{2},2^{3},2^{4},2^{5},2^{6},2^{7},2^8[/tex]} as we know,
so the set notation would be :
= {x:x = [tex]2^{n}[/tex], n∈N and 1 ≤ n ≤ 8}
listing method: simple method that include the members or elements of the set are written as a list, separated by the comma and enclosed within the curly braces.The listing method: {2, 4, 8, 16, 32,64, 128, 256}\
Thus, the above mention set is all the elements of the set.
Learn more about set notation:
https://brainly.com/question/24239496
seven subtracted from the product of four and a number is a most 26 use the variable C for the unknown number
which parts of the number line represent the factors? which part shows the product?
Answer:
The lines on the number line represent the factors. The product is the arrow
Step-by-step explanation:
my explantion is in the answer ig
Proving functions are inverses of each other: are these inverses of each other band can you explain why or why not.
9514 1404 393
Answer:
a) J(K(x)) = x; K(J(x)) = x; functions are inverses
b) f(g(x)) = 8 -x; g(f(x)) = -x; functions are not inverses
c) f(x) = 4 -x; f^-1(x) = 4 -x. g(x) = x -4; g^-1(x) = x +4
Step-by-step explanation:
a) Substitute for the function argument in the usual way. If the functions are inverses, their composite is the identity function.
J(K(x)) = J(1/3x -2) = 3(1/3x -2) +6 = x -6 +6 = x . . . . functions are inverses
K(J(x)) = K(3x +6) = 1/3(3x +6) -2 = x +2 -2 = x . . . . functions are inverses
__
b) f(g(x)) = f(x -4) = 4 -(x -4) = 4 -x +4 = 8 -x . . . . functions are not inverses
g(f(x)) = g(4 -x) = (4 -x) -4 = -x . . . . functions are not inverses
__
c) To find the inverse function for y = f(x), solve x = f(y).
The inverse of f(x) = 4 -x is ...
x = f(y) = 4 -y
y = 4 -x . . . . . add y-x to both sides
f^-1(x) = 4 -x
and for g(x) = x -4, the inverse is ...
x = g(y) = y -4
x +4 = y
g^-1(x) = x +4
Dana can type nearly 90 words per minute. Use this information to find the number of hours it will take her to type 2.6 x 105 words ,convert between standard decimal notation and scientifc
We can solve this problem by using the fact that speed of typing is defined as the words typed in unit time.
Dana will type [tex]2.6\times 10^5[/tex] words in 48.15 hours.
It's given in the question,
Dana can type 90 words per minute.Since, 1 minute = [tex]\frac{1}{60}[/tex] hours
Therefore, number of words she can type = [tex]\frac{90}{\frac{1}{60}}[/tex]
= 90×60
= 5400 words per hour
She types [tex]2.6\times 10^5[/tex] words in 'x' hours.Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time
= [tex]5400\times x[/tex]
Therefore, [tex]5400\times x =2.6\times 10^5[/tex]
[tex]5400x=260000[/tex]
[tex]x=\frac{260000}{5400}[/tex]
[tex]x=48.15[/tex] hours
Therefore, Dana types [tex]2.6\times 10^5[/tex] words in 48.15 hours.
Learn more,
https://brainly.com/question/621754
Four times the sum of twice a number and -3 is less than times that same number
A baby panda born at a national zoo weighed 8 ounces at birth and reached 75 pounds
at one year
What was the panda's growth rate per month? Per week?
of age.
Here, we need to find the monthly and the weekly growth rate
The monthly growth rate is 99.33 ounces and the weekly growth rate is 22.9 ounces
Weight at birth = 8 ounces
Weight at one year =75 ounces
1 pound = 16 ounces
75 pounds = 1200 ounces
Additional weight after birth = Weight at one year - Weight at birth
= 1200 ounces - 8 ounces
= 1,192 ounces
There are 12 months in a year
Growth rate per month = Additional weight after birth / 12
= 1,192 / 12
= 99.33 ounces per month
There are 52 weeks in a year
Growth rate per week = Additional weight after birth / 52
= 1,192 / 52
= 22.9 ounces per week
Read more:
https://brainly.com/question/20115298
Helppppp meeeeeeeeeeeehhhh
Answer:
9.00002 and 0.009 igs I am trying my best to understand lol
use the area of a rectangle and the Distributive
Property to find each product.
9 X 34
Answer:
Step-by-step explanation:
Write 34 in tens and units.
34 = 30 + 4
9(30 + 4)
9 * 30 = 270
9* 4 = 36
270 + 36 = 306
After awhile if your practice enough, you can do them in your head.
Determine which of the given points are on the graph of the equation.
Equation: x² + y2 = 2
Points: (1, -1), (-1,0), (1,1)
Which of these points are on the graph of the equation? Select all that apply.
A. (1, -1)
B. (1,1)
C. (-1,0)
D. None of the points are on the graph.
Answer:
D. none
Step-by-step explanation:
to figure out if the point is on the graph, take the x value and plug it in to the x coordinate, do the same for y. if the values truly add up to 2, then it is on the graph. Since none of the values add up to 2, they are not on the graph.
