Answer:
A) $2356.00
Step-by-step explanation:
Principal, p = $1,500.00
Interest rate, r= 6.5%
Period, t = 7 years
compounded quarterly therefore, n = 4
Amount, A = P( 1 + r/n)^ n*t
A = 1500 ( 1 + 0.065/4)^ 4*7
A = 1500( 1 + 0.016)^28
A = 1500 ( 1.016) ^28
A = 1500 * 1.57
A = $2356.00
Kevin using 84 fluid ounces of water to make in all purpose cleaner. The directions call for 4 fluid ounces of concentrated soap for every 3 cups of water. How many fluid ounces of soap should he use? (1 cup = 8 ounces)
He should use 886 fluid ounces of soap.
Step-by-step explanation:
Know that 8 fluid ounces make 1 cup.
Now 24 cups need 32 fluid ounces or, 3 fluid ounces of water need 32 fluid ounces of soap.
Thus, by unitary method,
84 ounces of water need 32 × 84 / 3 ounces of soap.
Thus the answer comes to 886 ounces.
A car manufacturer sold about 332,000 cars last year. The number of cars
sold this year is 125% of the cars sold last year. About how many cars were sold this year
sold this
Answer:
415,000
Step-by-step explanation:
First, find the decimal equivalent of 125%. To do this, divide 125 by 100 or move two decimal places to the right: 125/100 = 1.25
Now multiply the amount of cars sold last year, 332,000, by the percentage decimal, 1.25: 332,000 x 1.25 = 415,000
The car manufacturer sold 415,000 cars this year
Eric needs to find the area of the base of a
cylinder. Which formula will help him
Answer:
πr2
Step-by-step explanation:
If you want to find the base of a cylinder, the formula is AB=πr2.
Answer:
AB=πr2
Step-by-step explanation:
What number is ten times greater than 0.3
Answer: 3
Step-by-step explanation:
The number ten times greater than 0.3 will be 0.3 in ten places
= 0.3 x 10
=3
I hope this helps.
Answer:
The number is 3
Step-by-step explanation:
Step 1: Convert words into an expression
What number is ten times greater than 0.3
n = 10 * 0.3
Step 2: Multiply
n = 10 * 0.3
n = 3
Answer: The number is 3
Please help. I’ll mark you as brainliest if correct!
A motorcycle shop maintains an inventory of five times as many new bikes as used bikes. If there are 65 new bikes, how many used bikes are now in stock?
solve by using substitution . SHOW YOUR WORK. 3х + y = –17
бx — бу = –18
Step-by-step explanation:
1. 3x+y+17=0
2.x-y+3=0
Sorry mam I use mental math
Answer: X = —5 and Y = —2
Step-by-step explanation: What we have is a pair of simultaneous equations;
3X + Y = —17 —————-(1)
6X — 6Y = —18 ————(2)
We shall use the substitution method as instructed. Looking at equation (1),
We shall make Y the subject of the equation, hence
Y = —17 —3X
We shall now substitute for the value of Y into equation (2)
6X — 6Y = —18
6X — 6(—17 —3X) = —18
6X + 102 + 18X = —18
By collecting like terms we now have
24X = —18 —102
(Note that when a positive value crosses to the other side of the equation it becomes negative and vice versa)
24X = —120
Divide both sides of the equation by 24
X = —5
Having calculated the value of X as —5, we can now calculate Y as follows
From equation (1)
3X + Y = —17
3(—5) + Y = —17
—15 + Y = —17
Add 15 to both sides of the equation
—15 + 15 + Y = —17 + 15
Y = —2
Therefore, X = —5 and Y = —2
Represent Jacey wrote an equation to
find an angle measure. What do a and b
stand for in Jacey's equation?
360° divided by a=b
Her we know that Jacey wrote an equation to find an angle measure. The equation is as follows:
[tex]\frac{360^{\circ}}{a}=b[/tex]
So, if the angle 360° is a central angle, that is, an angle between two radii in a circle, then:
a: Represents the number of equal parts parts the circle is divided
b: Represents the measure of the central angle of each part
For example, suppose you have a circle and want to divide it into six parts, then, the central angle of each part of the circle will measure 60 degrees as indicated in the figure below.
Ronda's car is valued at $24,000, and she owes $22,000 on it. What is her
current equity?
O
A. $46,000
O
B. $2000
O
C. $4000
O
D. $24,000
Answer:
b. $2000
Step-by-step explanation:
yo just need to take away the smaller from the bigger number..
Answer:
Answer B:$2000
Is her current equity
Robert is lying on the ground, looking at the top of a flagpole. The angle of elevation to the top of the flagpole is
55° . What is the height of the flagpole if the distance from his eyes at the ground to the base of the flagpole is
400 ft? Round to the nearest foot.
550
400 ft
Answer:
Height of flagpole = 571 ft
Step-by-step explanation:
Given:
Angle of elevation to the top of the flagpole is 55° .
Distance from the eyes to the base of flagpole = 400 ft.
To find the height of the flagpole.
Solution:
We can draw the situation as a right triangle as shown below.
In triangle ABC.
[tex]BC=400\ ft[/tex]
∠C= 55°
To find the length AB (height of the flagpole).
Applying trigonometric ratio :
[tex]\tan\theta=\frac{Opposite\ side}{Adjacent\ side}[/tex]
[tex]\tan C=\frac{AB}{BC}[/tex]
Plugging in values.
[tex]\tan 55\°=\frac{AB}{400}[/tex]
Multiplying both sides by 400.
[tex]400\tan 55\°=\frac{AB}{400}\times 400[/tex]
[tex]571.26=AB[/tex]
∴ [tex]AB\approx 571\ ft[/tex]
Height of flagpole = 571 ft
Final answer:
The flagpole's height is approximately 571 feet when rounded to the nearest foot.
Explanation:
To find the height of the flagpole, we use the angle of elevation and the distance from the observer to the flagpole's base, which forms a right-angled triangle. We can calculate the height of the flagpole by using the tangent function:
Tan(55°) = (height of the flagpole) / 400 ft
Therefore,
(height of the flagpole) = tan(55°) * 400 ft
A calculator can be used to find that tan(55°) approximately equals 1.4281.
Multiplying this by 400 gives the height of the flagpole:
Height of the flagpole = 1.4281 * 400 ft
Height of the flagpole ≈ 571.24 ft
When rounded to the nearest foot, the height of the flagpole is approximately 571 feet.
Find the area of a triangle with base b and helght . Round your answer to the nearest hundredth If necessary b = 14.3ml h = 10.7mi
Answer:
76.505------>76.51 ml^2
Step-by-step explanation:
14.3 x 10.7 = 153.01
153.01/2 = 76.505
round to nearest hundredth
Which expression shows the correct way to find the distance between
(23,17) and (43,14)? ( TTM)
Answer:
d=[tex]\sqrt{x} (43-23)^2+(14-17)^2[/tex]
Answer= 20.224
Step-by-step explanation:
Answer:
thats teh answer
Step-by-step explanation:
What is a non-meric unit system
Answer:
The metric system of measurement, the International system of units (SI Units), is widely used for quantitative measurements of matter in science and in most countries. ... Any units used in other system of measurement (i.e. not included in the SI system of measurement), will be referred to as non-SI units.
Wouldn't mind if you gave me Brainiest.
If f(x) = 2x^2 and g(x)= x^2 + 2x, which expression represents f(g(x))?
A) 2x^4 + 4x^2
B) 4x^4 + 4x^2
C) 2x^4 + 8x^2
D) x^4 + 4x^3 + 4x^2
E) 2x^4 + 8x^3 + 8x^2
Marisol has 64 ounces of lemonade to sell. She divides it into 4 ounce cups. Then she sells 13 cups. How many cups of lemonade does she have left?
Show Your Work
Answer:
3 cups
Step-by-step explanation:
first, divide the number of ounces (64) by the ounces in the cups (4). you get 16. 16 represents the total amount of cups.
we know that she sold 13 cups and the question asks how many cups she has left. so you subtract 16 and 13 and ur final answer is 3
Find the distance between -2x + y = 6 and x = 1/2x - 4. Round your answer to the nearest tenth.
Please I need help and answer in a decimal
The distance between the two lines,-2x + y = 6 and x = 1/2x - 4, is approximately 4.5 units
Calculating the distance between two linesTo find the distance between two lines, we can use the formula:
Distance = |(Ax + By + C)| / sqrt(A^2 + B^2)
Where A, B, and C are the coefficients of the standard form equation of the first line
and x and y are the coordinates of a point on the second line.
Let's first convert the equations of the lines into the standard form (Ax + By + C = 0):
-2x + y - 6 = 0 --> 2x - y + 6 = 0 (Line 1)
x - 2x/2 - 4 = 0 --> -x + 4 = 0 --> x - 4 = 0 (Line 2)
Now, we can use the formula to find the distance between the two lines:
distance = |(Ax + By + C)| / sqrt(A^2 + B^2)
Let's take a point on Line 2, for example, (4,0). Then:
Distance = |(24 - 10 + 6)| / sqrt(2^2 + (-1)^2)
Distance = |10| / sqrt(4 + 1)
Distance = 10 / sqrt(5)
Distance = 4.472
Distance ≈ 4.5
Hence, the distance is approximately 4.5 units
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What is the value of x in the proportion (x - 1)/5 = (4x + 2)/35?
Answer:
x=3
Step-by-step explanation:
1. cross multiply to get
5(4x+2)= 35(x-1)
2. distribute
20x+10=35x-35
3. combine like terms
45=15x
4. divide :)
3=x
Answer:
x = 3
Step-by-step explanation:
(x - 1)/5 = (4x + 2)/35
to find the value of x
the first thing to do is to cross multiply
from this ,
(x-1)/5 = (4x + 2)/ 35
35(x-1) = 5( 4x + 2)
35x - 35 = 20x + 10
we are going to collect the like terms
35x -20x = 10 + 35
15x = 45
we are going to divide both sides by the coefficient of x which is 15
we have,
15x/15 = 45/15
x = 3
therefore the value of x = 3
to check if your answer is correct, put the value of x and slot it into one of the equations.
35x - 35 = 20x + 10
35(3) - 35 = 20(3) + 10
105 - 35 = 60 + 10
70 = 70........................ proved.
Solve. x(x + 1) = 20
Answer:
x =(1+√81)/2=(1+9)/2= 5.000
or:
x =(1-√81)/2=(1-9)/2= -4.000
Step-by-step explanation:
there now can i get brainliest
Sophia uses 1/2 pound of white flour to make
one loaf of bread and 1/4 pound of cake flour to
make one cake. Which shows how many cakes
and loaves of bread Sophia can make with the
amount of flour that she has?
I give lot of points
Sophia can make 12 cakes and 4 loaves of bread.
The right answer is Option A.
Step-by-step explanation:
Given,
White flour used for one loaf of bread = 1/2 pound
White flour available = 2 pounds
Cake flour used to make one cake = 1/4 pound
Cake flour available = 3 pounds
We will divide the available amount by the amount used for one.
No. of loaves of bread = [tex]\frac{2}{\frac{1}{2}}=2*2[/tex]
No. of loaves of bread = 4
No. of cakes = [tex]\frac{3}{\frac{1}{4}}=3*4[/tex]
No. of cakes = 12
Therefore,
Sophia can make 12 cakes and 4 loaves of bread.
The right answer is Option A.
A motorcycle travels 230 miles on 4 gallons of gasoline.
How far can the motorcycle travel on 5.5 gallons?
Answer:
50 miles per gallon
Explanation:
225 miles divided by 4.5 gallons will give the miles per gallon.
225
4.5
=
50
miles per gallon
Step-by-step explanation:
Answer: i think its 316.25
Step-by-step explanation: i divided 230 and 4 which gives you 57.5 then i multiplied that with 5.5 and i got 316.25
Equation for 6422 divided by 26
Answer:
247
Step-by-step explanation:
Answer:
6422÷26=247
Step-by-step explanation:
3. An online video game tournament begins with 1024 players. Four players play in each
game. In each game there is only one winner, and only the winner advances to the
next round. How many games will the winner play?
Answer:
The winner play 341 games.
Step-by-step explanation:
An online video game tournament begins with 1024 players.
Four players play in each game
It forms GP : [tex]\frac{1024}{4}=256 , \frac{256}{4}=64 , \fra{64}{4}=16 , \frac{16}{4}=4 , \frac{4}{4}=1[/tex]
So, GP: 256, 64,16,4 , 1
First term = a = 256
Common ratio = [tex]\frac{64}{256}=\frac{4}{16}=\frac{1}{4}[/tex]
Formula of nth term =[tex]a_n=ar^{n-1}[/tex]
[tex]1 = 256 (\frac{1}{4})^{n-1}[/tex]
[tex]\frac{1}{256}=(\frac{1}{4})^{n-1}[/tex]
[tex](\frac{1}{4})^9=(\frac{1}{4})^{n-1}[/tex]
4=n-1
5=n
So, Sum of first n terms=[tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]
Substitute n = 5
[tex]S_5=\frac{256(1-(\frac{1}{4})^5)}{1-\frac{1}{4}}[/tex]
[tex]S_5=341[/tex]
Hence the winner play 341 games.
The winner will play 10 games.
Explanation:With 1024 players for the first round, each game will have 4 players. Since there can only be one winner per game, the winner of each game will advance to the next round. To determine the number of games the winner will play, we need to find out how many rounds there will be. In each round, the number of players is halved until only one player remains. Therefore, the number of rounds is equal to the logarithm base 2 of the initial number of players. So, the winner will play a total of log2(1024) = 10 games.
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Plez help click on picture
The volume of the spherical piece is 288.55 cm³.
Solution:
Diameter of the sphere = 8.2 cm
Radius of the sphere = 8.2 ÷ 2 = 4.1 cm
The value of π = 3.14
Volume of the sphere [tex]=\frac{4}{3} \pi r^{3}[/tex]
[tex]$=\frac{4}{3} \times 3.14 \times(4.1)^{3}[/tex]
[tex]$=\frac{4}{3} \times 3.14 \times68.921[/tex]
= 288.55 cm³
The volume of the spherical piece is 288.55 cm³.
-2x(3x - 4) = 0 Write the equation in standard form.
Answer:
x=0
Step-by-step explanation:
First, we expand.
-2x(3x-4)=0
-6x+8x=0
2x=0
x=0
Write the product of 5/9 and 25 as a mixed number
Answer:
13 8/9
Step-by-step explanation:
25*(5/9) is equal to (25*5)/9
25*5 = 125 and 9 goes into 125 13 times with a remainder of 8
The solution would be:
13 8/9
Answer:
13 8/9
Step-by-step explanation:
5/9 x 25
Multiply through
125/9
13 8/9
Simplify the expression
6x^2+20/4
Answer:
6x2+5
Step-by-step explanation:
|x−y+z| if x=3; y=−2; z=−6
Answer:
1 is the answer
Step-by-step explanation:
[tex] |x - y + z| = |3 + 2 - 6| \\ = | - 1| = 1[/tex]
1. If the length of a rectangle is 6 more than its width, and its perimeter is 48
inches, what is the length of the rectangle?
For this case we have that by definition, the perimeter of the rectangle is given by:
[tex]P = 2w + 2L[/tex]
Where:
W: Is the width of the rectangle
L: is the length of the rectangle
According to the data we have:
[tex]L = 6 + w\\P = 48[/tex]
Substituting:
[tex]48 = 2w + 2 (6 + w)\\48 = 2w + 12 + 2w\\48 = 4w + 12\\48-12 = 4w\\36 = 4w\\w = \frac {36} {4}\\w = 9[/tex]
So, the width of the rectangle is 9 inches
[tex]L = 6 + 9 = 15[/tex]
So, the length of the rectangle is 15 inches
Answer:
the width of the rectangle is 9 inches
the length of the rectangle is 15 inches
What is the slope of a line y=7.8x+62
Answer:
m = 7.8
Step-by-step explanation:
Its the slope. Its the number next to the x.
Find the complex conjugate of 14+ 12i
Answer:
14 - 12i
Step-by-step explanation:
Given the complex number a ± bi, then the complex conjugate is
a ∓ bi
Note that the real part a remains unchanged while the sign of the imaginary part is reversed.
Given 14 + 12i then the conjugate is 14 - 12i
Add: 43 + ( -13)
Will mark show work if correct
The answer to this problem is 30.
Step-by-step explanation:
43+-13
=30
Check: 43-13 also =30.
So the answer to this equals 30.