Answer:
12500
Step-by-step explanation:
4.5 × 48=216.
12500 Plus 216= 12,716
The value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+r)^t[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
t = How long the money is deposited or borrowed (in years)
We have in the question:
p = $12,500
r = 4.5% ⇒ 0.045
t = 4 years ⇒ 4×12 ⇒ 48 months
Put the above values in the formula, we get;
[tex]\rm A = 12500(1+0.045)^4^8[/tex]
A = 12500×8.27145
A = $103393.20
Thus, the value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
Learn more about the compound interest here:
brainly.com/question/26457073
What is the solution set of the equation (x - 2)(x - 8) = 0?
1)-2 and 8
2)-2 and -8
3) 2 and 8
4) 2 and -8
Answer:
Step-by-step explanation:
2 and 8
Multiplying and dividing rational expressions
Answer:
the answer in the picture
Step-by-step explanation:
PLZ HELPPPPPPPPPPPPPP
Answer:
i believe it is a if not im sorry
Step-by-step explanation:
It takes 3 hours for a boat to travel upstream against the current and 1.8 hours to travel the same distance downstream with the current. What is the speed of the boat in still water if the speed of the current is 3 mph?
Answer:
Step-by-step explanation:
There are a couple of things to know before we set up the table for this problem. First, we need to remember that if the boat is traveling against the current, that the current is going to slow the boat down; likewise, going with the current will speed the boat up. Second, we need to realize that if the boat's distance against the current is the same as the distance with the current, then the distances in the equations will be set equal to one another.
Set up the table with U (against the current) and D (with the current) on the outside and fill in what we are given:
d = r x t
U
D
This is the table. Now we will fill it in:
d = r x t
U r - 3 x 3
D r + 3 x 1.8
The formula for the distance equation is at the top of the table as d = rt. We already decided that the distances that the boat traveled upstream and downstream were the same so we will set those d values equal to each other, but we first need to get the d value for each row. If distance = rate times time, then for the first row:
d = (r - 3)3 and
d = 3r - 9. For the second row:
d = (r + 3)1.8 and
d = 1.8r + 5.4. Setting them equal to each other:
3r - 9 = 1.8r + 5.4 and
1.2r = 14.4 so
r = 12 mph
The numerator of a given fraction is 4 less than the denominator. if 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes 1/4, what is the given fraction?
Answer:
Step-by-step explanation:Given that the numerator of a given fraction is 4 less than its denominator.
Also given that 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth .
Let the fraction be
Since the numerator of a given fraction is 4 less than its denominator we have,
Numerator=Denominator-4
⇒ a=b-4
Since 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth we have
4(a-3)=1(b+5)
4a-12=b+5
4a-b=17
4(b-4)-b=17 ( ∵ a=b-4)
4b-16-b=17
3b=17+16
3b=33
⇒ b=11
Now put b=11 in a=b-4 we get
a=11-4
⇒ the fraction is a/b=7/11
In a geometric sequence, the ratio between consecutive terms is...
========================================================
Explanation:
Consider an example like 3, 6, 12, 24, 48, ...
The ratio between consecutive terms is
6/3 = 212/6 = 224/12 = 248/2 = 2Each time we divide any given term over its previous one, we get the same ratio 2. We call this the common ratio. In terms of notation, the variable r is used for the common ratio, so r = 2 in this case.
As another example, the geometric sequence 5, 50, 500, 5000, ... has r = 10 as the common ratio because we multiply each term by 10 to get the next one. Moving forward has us multiply by r, moving backward and we divide by r. The value of r cannot be zero, but it can be negative.
An example with r being negative would be something like
1, -1, 1, -1, 1, -1, ....
we just bounce back and forth between those two values. In this case, r = -1.
mary drew a picture of a building. she used the scale shown 1 in:16 ft. the building in her pictures 9 inches tall. what is the height, in feet, of the actual building.
Answer:
okay
i am not sure the answer but hi i am ok
Elena is feeding her neighbor's dogs. Each dog gets 2/3
cup of dog food, and she uses 3 1/3 cups of food. How many dogs does her neighbor have?
5 5/8 cups of water fill 4 1/2 identical water bottles. How many cups fill each bottle?
Answer:
5 dogs
1 1/4 cups per bottle
Step-by-step explanation:
10/3 ÷ 2/3 get solved by 10/3 x 3/2, which gives you 30/6 or 5
45/8 ÷ 9/2 is 45/8 x 2/9 which is 5/4 or 1 1/4
Please provide an explanation.
Answer:
-9
Step-by-step explanation:
In a linear equation like this, the first number is the slope and the last number is the y-intercept
What is the volume of this prism?
28 cubic units
9 cubic units
17 cubic units
==================================
Work Shown:
L = 5 = length
W = 2 = width
H = 1.7 = height
V = volume
V = L*W*H
V = 5*2*1.7
V = 17 cubic units
find the value of x
answers
118
62
82
28
Answer:
118°
Step-by-step explanation:
Don't think the answer is 62° this time both 118° and angle x are congruent.
What do I mean by that? Both angles measure the exact same thing.
The only difference is their line length (n) and (m).
PLEASE SEE ATTACHED
THANK YOU!!!
Answer:
use waymath but type it the other way around
Step-by-step explanation:
Answer:
1) it's a circle, (4x + 12)² + (2y - 2)² = 64
2) it's a circle, (x + 4)² + (y - 3)² = 40
3) it's a parabola, (x + 3)² = -4(y - 1)
Step-by-step explanation:
Equation of a circle: (x - h)² + (y - k)² = r²
factorize the equation:
1) => 16x² + 96x + 144 + 4y² - 8y + 4 + 84 = 144 + 4
=> (4x + 12)² + (2y - 2)² = -84 + 144 + 4
=> (4x + 12)² + (2y - 2)² = 64 (equation of the circle)
Graph the circle using the radius and the center.(& compass for drawing circles)
=>(4x - (-12))² + (2y - 2)² = 8²
(x - h )² + (y - k)² = r²
Center: (h, k) => (-12, 2)
Radius: √r² => √64 = 8
2) => x² + 8x + 16 + y² - 6y + 9 - 15 = 16 + 9
=> (x + 4)² + (y - 3)² = 15 + 16 + 9
=> (x + 4)² + (y - 3)² = 40 (equation of the circle)
Graph the circle using the radius and the center.(& compass for drawing circles)
=> (x - (-4) )² + (y - 3)² = 40
(x - h )² + (y - k)² = r²
Center: (h, k) => (-4, 3)
Radius: √r² => √40 ≈ 6.32
Equation of a parabola facing down: (x - h)² = 4a(y - k)
3) => x + 6x + 9 = -4y - 5 + 9
=> (x + 3)² = -4y + 4
=> (x + 3)² = -4(y - 1) (equation of the parabola)
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
=> (x - (-3))² = 4 × -1(y - 1)
(x - h )² = 4 × a(y - k)
Vertex: (h, k) => (−3, 1)
Focus: (h, k + a) => (-3, 1 + (-1)) => (−3, 0)
Axis of Symmetry: x = h => x = −3
Directrix: y = k - a => y = 1 - (-1) => y = 2
x | y
−5 | 0
−4 | 3/4
−3 | 1
−2 | 3/4
−1 | 0
(graphs in the pictures below)
what is the correct answer?
Answer:
well we can see the sign's a trapezoid
area of trapezoid = 1/ 2 × sum of parallel sides × height
= 1/ 2 × (7+5) × 4
= 1/ 2 × 12 × 4
= 24 Sq feet
that's first option
Luis, Pedro y Ernesto fueron a comer pizza. Entre Luis y Ernesto comieron el doble que Pedro. Pedro comió el doble que Ernesto. Entre los 3 se comieron una pizza ¿Qué porción se comió cada uno?
Answer:
Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.
Step-by-step explanation:
Dado que Luis, Pedro y Ernesto fueron a comer pizza, y entre Luis y Ernesto comieron el doble que Pedro, y Pedro comió el doble que Ernesto, y entre los 3 se comieron una pizza, para determinar qué porción se comió cada uno se debe realizar el siguiente cálculo:
L + P + E = 1
L + E = 2P
P = 2E
L + E = 4E
L = 4E - E
L = 3E
3E + 2E + E = 1
6E = 1
E = 1/6
E = 0.166
P = 0.166 x 2
P = 0.333
L = 0.166 x 3
L = 0.5
L = 1/2
Por lo tanto, Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.
Subtract the polynomials.
( x^6 -2x^5 –x^3 — 7) – (3x^6 - 3x^5 -2x^ 2 – 5)
Answer: -2x^6+x^5-x^3-2+2x^2 Hope that helps!
Step-by-step explanation:
1. Remove Parentheses x^6-2x^5-x^3-7-3x^6+3x^5+2x^2+5
2. Collect like terms (x^6-3x^6)+(-2x^5+3x^5)-x^3+(-7+5)+2x^2
3. Simplify and your answer would be -2x^6+x^5-x^3-2+2x^2
Please I need help?!?!?!?!?!
Answer: y=7
Step-by-step explanation:
Using the formula: (y - y1) = 0 (x - x1)
Substitute x1 with -2, and y1 with 7 and set the slope as 0.
Y-7=0(x-(-2))
Y - 7 = 0 (x + 2)
Anything times 0 = 0, so cancel out the -2.
Y-7=0
Add the 7 to the 0.
Y = 7
Solve the following equation for x: 3x - 8 = 25
Answer:
x = 11
Step-by-step explanation:
First you isolate the 3x to one side by adding 8 to both sides, this then gives us the equation 3x = 33, then you divide 33/3 which equals 11
A truck is 48 ft. long and 10 ft. wide. The owner wants to paint a red stripe around the outside of the truck. How long is the stripe? Please explain
A) By how many % did 40 increase to 70?
B) By how many % did 70 decrease to 40
Answer:
A. by 3 percent
B. by 3 percent
Answer:
A) 75% increase
B)42.8571% decrease
Step-by-step explanation:
The formula to do this is to subrtact the final value-starting value then divide by the starting value and finaly multiply by hundred
it should look like this
[tex]\frac{finalvalue-starting value}{starting value} *100[/tex]
PLEASE HELP ASAP!!
find the value of y.
2
2weridcheckthing2
3
6checkthing2
Answer:
[tex]2\sqrt{2}[/tex]
Step-by-step explanation:
A^2 + B^2 = C^2
1^1 + y^2 = 3^3
1 + y^2 = 9
y^2 = 8
y = [tex]2\sqrt{2}[/tex]
Graph the system of equations, and determine the solution.
x+5y=5
2x+10y=60
Step-by-step explanation:
the systems have no solution
the lines are parallel each other
graph as attached
solve the system using the elimination method
2x + 3y = 12
15x -3y = 39
Answer:
x=3 y=2
Step-by-step explanation:
Step one:
Add both equation
2x+3y=12
+ 15x-3y=39
___________
17x=51
x=3
Step 2: After finding the answer for x, plug it into the first equation to find the value of y
2(3)+3y=12
6+3y=12
3y=6
y=2
What is the area, in square units, of the shaded region? (nearest tenths place)
Answer:
169.6
Step-by-step explanation:
in a box of pens, 30% of them are blue, 45% are red and the rest are black. if there are 360 red pens, find the total number of pens.
Answer:
800
Step-by-step explanation:
Which phrase represents the algebraic expression for r + 12?
A. The difference of a number and twelve.
B. The product of a number and twelve.
C. The quotient of a number and twelve.
D. The sum of a number and twelve.
Answer:
I guess d is the answer . cause the sum of a number (a number added to something) represented by a variable is added to twelve
Use the given scale factor in the side length of the scale drawing to determine the side links of the real object
Answer:
A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long
Step-by-step explanation:
Here is the complete question. Please find attached a diagram showing the scaled and real drawing
Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object
A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long
B. side a is 30 inches long, side b is 25 inches long, and side c is 20 inches long
C. side a is 40 inches long, side b is 35 inches long,and side c is 20 inches long
D. side a is 175 inches long,side b is 150 inches long, and side c is inches long
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
The scaled drawing is an enlarged image of the original triangle.
It is enlarged at a ratio of 5:1
original dimensions
a = 35/5 = 7
b = 30 / 5 = 6
c = 15/5 = 3
While walking outside on a field trip 75%, or 15, of the students in the class wore jackets. Find the number of
students in the entire class.
Answer:
20
Step-by-step explanation:
Do 15 divided by 0.75
What’s the area of the shape?
Answer:
Hello! answer: 113.04
Step-by-step explanation:
It looks like you already selected the correct answer! What you do to find it is radius squared × 3.14 so
6 × 6 = 36 36 × 3.14 = 113.04 therefore that is the answer Hope that helps!
Find the slope-intercept equation of the line that passes through (2,-5) and has a slope of 1/3
Answer:
y = 1/3x - 17/3
Step-by-step explanation:
Given:
Passes through (2, -5)
m = 1/3
Slope-intercept:
y - y1 = m(x - x1)
y - (-5) = 1/3(x - 2)
y + 5 = 1/3x - 2/3
y = 1/3x - 17/3
Jackie, Morgan, kyle and Chung ran the 100 meter dash. Jackie finished in 17.6 sec, Morgan finished in 17.06 sec, kyle finished in 17.66 sec, and chung finished in 17.066. Wich of them finished in the least amount of time
Answer:
Morgan (17.06 secs)
Step-by-step explanation:
Jackie, morgan, Kylie and chung ran the 100 meter dash race
Jackie finished the race in 17.6 secs
Morgan finished the race in 17.06 secs
Kylie finished the race in 17.66 secs
Chung finished the race in 17.066 secs
Hence Morgan finished the race in the least amount of time in 17.06 seconds