Answer:
10.94 years
Step-by-step explanation:
We're gonna use the compound interest formula: P = A(1 + r/n)ⁿˣ
P = Final amount (6500)
A = Starting amouint (5000)
r = rate (0.024)
n = number of times applied (12)
x = number of years
6500 = 5000(1 + 0.024/12)¹²ˣ
First, divide both sides by 5000
(1 + 0.024/12)¹²ˣ = 6500/5000 = 1.3
Then solve the equation inside the parenthesis
1.002¹²ˣ = 1.3
Take log₁.₀₀₂ from both sides
12x = log₁.₀₀₂(1.3)
12x = 131.3133
Finally divide both sides by 12
12x/12 = 131.3133/12
x = 10.942775
A machine can blow up 20 balloons in 4 min.
How many balloons can it blow up in 60 min?
Answer:
120
Step-by-step explanation:
all you have to do is multiply 20*60
Answer:
The machine can blow up 300 balloons in 60 min.
Step-by-step explanation:
60 ÷ 4 = 15. 15 x 20 = 300. We know it takes 4 minutes to blow up 20 balloons. 4 minutes is only 1/15 of 60, so that means you have to blow up 20 balloons 15 times, which will take 60 minutes, and in that 60 minutes, you blew up 300 balloons.
Hope it helps!
Triangle HEF is the image of triangle HGF after a reflection across line FH. Write a congruence statement for the 2 congruent triangles.
The required statement for the 2 congruent triangles is 1. EF = FG, 2. EH = GH, and ∠E = ∠G.
Given that,
Triangle HEF is the image of triangle HGF after a reflection across line FH. To determine a congruence statement for the 2 congruent triangles.
In congruent geometry, the shapes that are so identical. can be superimposed to themselves.
Here,
Since triangle HEF is the image of triangle HGF after a reflection across line FH.
Implies,
1. EF = FG
2. EH = HG
3. ∠E = ∠G
Thus. the required statement for the 2 congruent triangles is 1. EF = FG, 2. EH = GH, and ∠E = ∠G.
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for the function R(x)= x+4/x-3, find the values of x that make the function less than or equal to 0
Answer:
-4[tex]\leq[/tex]x<3
Step-by-step explanation:
1)Break this into 2 case, equal to 0 and and less than 0.
2)The number equals zero if its numerator is 0 which happens when x=-4.
3) A fraction is less than 0 it is negative. Negative fractions are either +/- or -/+, so we have two subcases.
3a) For +/- the numerator is positive when x>-4 and denominator is negative when x<3. Putting those two together we have -4<x<3.
3b)For -/+ the numerator is negative when x<-4 and the denominator is positive when x>3 however those two values don't overlap.
4) Putting this together we have -4[tex]\leq[/tex]x<3
I'll give brainliest if you answer this question
Answer:
y-intercept: 2
x-intercept: -7
Step-by-step explanation:
-4b - 5 > -25
please show work
Answer:
b<5
Step-by-step explanation:
-4b -5 > -25
add 5 to both sides
-4b>-20
divide by -4
flip the greater than sign
b<5
Priya can bike 150 meters in 20 seconds At this rate how long would it take her to bike 3,000 meters
Answer: 400 seconds
Step-by-step explanation:
3,000/150=20
20*20=400
150:20 = 3,000:400
Find the midpoint between (-9, 3) and (5, 7). PLEASE SOLVE THIS QUICK!! DUE IN AN HOUR
Answer:
(-2,5)
Step-by-step explanation:
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
We know that mid - point of a line segment divides it into two equal parts, that is it divides the segment in the ratio of 1 : 1, so let's find the coordinates of the mid point of line segment joining points (-9 , 3) and (5 , 7).
let the coordinates of the points be x and y, now
[tex]m = 1[/tex][tex]n = 1[/tex][tex]x_2 = 5[/tex][tex]x_1 = - 9[/tex][tex]y_2 = 7[/tex][tex]y_1 = 3[/tex]Using section formula :
value of x :
[tex]x = \dfrac{mx_2 - nx_1}{m + n} [/tex][tex]x = \dfrac{(1 \times 5) - (1 \times - 9)}{1 + 1} [/tex][tex]x = \dfrac{5 - ( - 9)}{2} [/tex][tex]x = \dfrac{5 + 9}{2} [/tex][tex]x = \dfrac{14}{2} [/tex][tex]x = 7[/tex]value of y :
[tex]y = \dfrac{my_2 -ny_1 }{m+ n} [/tex][tex]y = \dfrac{(1 \times 7) - (1 \times 3)}{1 + 1} [/tex][tex]y = \dfrac{7 - 3}{2}[/tex][tex]y = \dfrac{4}{2} [/tex][tex]y = 2[/tex]So, coordinates of the point which is midpoint of the given line is :
[tex] \boxed{ \boxed{ (7, 2)}}[/tex]
i dont know the answer to this question
Answer:
- 9°C is less than -4°C
Step-by-step explanation:
The reason that why these temperatures are related because when we start counting the numbers from left, it becomes smaller. For ex- 3 is on the left of 5. So, 3 is smaller than 5. That's how when we start counting from the left in negative numbers, the negative numbers gets smaller.
Which sum does the model below represent?
04+ (-7)= -3
0 4+ 7 = 11
8 + (-3) = 4
11+ (-4) = -3
Answer:
It represents that it is false
Step-by-step explanation:
Find the final price of a $150.00 guitar after a 40%
discount and 6% tax.
Answer:
$ 100?
Step-by-step explanation:
That's my answer
x-2y+z=2
bx+ay=3
-2y+z=-4
Choose appropriate values for a and b
Answer:
Attached
Step-by-step explanation:
Just for your reference, this question will get unlimited number of solutions, attached is a few examples I calculated from Excel. Have fun to pick one or create one to be your favorite.
Hey can anyone help with this question please and thank you
Answer:
(7x-4)°= (3x+28)°. ( :. m || n, so it is alternate angle)
7x° - 4° = 3x° + 28°
4x° = 32°
x = 32/8
x = 4°
Answer:
x = 8
Step-by-step explanation:
< (7x - 4)° and < (3x + 28)° are Alternate interior angles that do not have a common vertex on alternate sides of the transversal, t. Therefore, they have the same measure.
We can establish the following equality statement to solve for x :
< (7x - 4)° = < (3x + 28)°
Subtract 3x from both sides:
7x -3x - 4 = 3x - 3x + 28
4x - 4 = 28
Add 4 to both sides:
4x - 4 + 4 = 28 + 4
4x = 32
Divide both sides by 4 to solve for x:
4x/4 = 32/4
x = 8.
To verify whether the value of x is correct, substitute x = 8 into the equality statement:
< (7x - 4)° = < (3x + 28)°
< [(7(8) - 4]° = < [3(8) + 28]°
< (56 - 4)° = < (24 + 28)°
< 52° = < 52° (True statement. Therefore, the correct answer is x = 8).
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If the measure of angle ACB is 15 degrees, what is the measure of arc AB?
help me pleaseee , i need help i have to pass
First we need interest annually
P=150000R=6.6%T=1[tex]\\ \sf\longmapsto I=\dfrac{PRT}{100}[/tex]
[tex]\\ \sf\longmapsto I=\dfrac{150000(6.6)}{100}[/tex]
[tex]\\ \sf\longmapsto I=1500(6.6)[/tex]
[tex]\\ \sf\longmapsto I=9900[/tex]
Now monthly interest
[tex]\\ \sf\longmapsto \dfrac{9900}{12}[/tex]
[tex]\\ \sf\longmapsto 825[/tex]
Monthly principal=150000/12=12500
Monthly payment=12500+825=13325$A pair of Jeans cost $88 A jeans jackets cost twice as much What is the cost of a Jean jacket and 4 pairs of jeans
Answer:
$528
Step-by-step explanation:
$88 x 4 to find the cost of total amount of jeans
$88 x 2 for total cost of jean jacket
Add both together to find total amount
You already found what jeans cost. Now all you have to find is the cost of the jean jacket
88*2 = 176.
Now you have to multiply 4 onto the 88. Your answer is 352.
Help Please One Mixed Fraction
1/2 x 1 4/9
Answer:
13/2
Step-by-step explanation:
Answer:
13/18
Step-by-step explanation:
1/2 ×13/9
1×13 =13
2×9= 18
This size running track is usually called a 400-meter track. However, if a person ran as close to the "inside" as possible on the track, they would run less than 400 meters in one lap. How far away (in meters) from the inside border would someone have to run to make one lap equal exactly 400 meters?
Answer:
its 0 because its -400-400=0
Step-by-step explanation:
what does variable represent
Answer:
A variable represents an unknown, numerical value that can vary, taking on different values.
Step-by-step explanation:
In algebra/math, a variable stands for an unknown quantity that can vary, taking on different values. It is often represented by the letter x, but it can be different kinds of symbols such as a, b, z, etc.
Answer:
A variable is a quantity that may change within the context of a mathematical problem or experiment.
Step-by-step explanation:
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what is the value of the 4 in 53.42
Answer:
The value of four is tenths. If you are stuck in a question like this, just draw a place value grid.
Answer:
tens so 4*10 = 40
Step-by-step explanation:
53.42
the value of 4 is 4*10=40
35 kg 22 g - 21 kg 75 g
Answer:
Loading,please wait...
Step-by-step explanation:
A wheel rotates 15 times each minutes. How many degrees will it rotate in 1 second of time?
Answer:
In 1 second it Rotates 15× 360 / 60
Step-by-step explanation:
Wheel Rotates 15 times in 60 seconds
This implies that the wheel completes
15 × 360 degrees in 60 seconds
therefore,
In 1 second it Rotates 15× 360 / 60
=> 15×6 = 90 °
in 12 seconds , 12×90 = 1080°.
increase percent of $25; 300%
Find the slope of the line.
Answer:
0.75
Step-by-step explanation:
I hope this helps!
We must do rise over run to find the slope.
First find 2 points that cross the corner of the grid as shown in the attached image.
Then count how many units up and over it takes to connect the 2 points. For this example, there are 3 up and 4 across.
ΔX = 0 – -4 = 4
ΔY = 1 – -2 = 3
Slope (m) = ΔY/ΔX = 3/4 = 0.75
To solve for slope, it would be [tex]\frac{rise}{run}=\frac{3}{4} =0.75[/tex] is the slope.
Don’t understand this
[tex]3.32×10^4[/tex]
Answer:
please mark me as brainlest
Step-by-step explanation:
3.32×10^4
PLEASE I NEED HELP ASAP!!
Aluminum bronze consists of copper and aluminum, usually in the ratio of 10:1 by weight. If an object made of this alloy weighs 77 pounds, how many pounds of aluminum does it contain?
Answer:
The correct answer is (A). Copper and aluminum in the ratio of 10:1 means 10 parts copper to 1 part aluminum.
Step-by-step explanation:
7 pounds of aluminum in aluminum bronze by by weight.
What is Ratio?Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
What is percentage?The percentage is defined as the ratio expressed as a fraction of 100.
The percentage is denoted by sign of %.
For example, if XYZ scored 46% marks in his test, it means that he scored 46 marks out of 100. It is written as 46/100 in the fraction form and 46:100 in terms of ratio.
Aluminum bronze consists of copper and aluminum in the ratio of 10:1 by weight
The ratio of copper and aluminum in aluminum bronze = 10:1
Let, aluminum in aluminum bronze by weight = x pound
And copper in aluminum bronze by weight = 10x pound
Since object made of this alloy weighs 77 pounds
So, x + 10x = 77
11x = 77
x = 7
Hence, 7 pounds of aluminum in aluminum bronze by by weight
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76,860,001 in words
76, 860, 001 in words is Seventy six million, eight hundred and sixty thousand and one.
Hope this helps; please mark BRAINLIEST.
Answer:
seventy six million eight hundred and sixty thousandth and 1
Step-by-step explanation:
Complete the truth table for the given statement by filling in the required columns.
Answer:
-P is true.
Step-by-step explanation:
q v-p is false.
Need some help on this question please provide evidence on how you came up with the answer aswell.
17
48. Una excelente aproximación del número irracional V2 es la fracción
Comprueba este resultado y señala los errores absoluto y relativo.
12
Answer:
hi so im jeff wanna be my friends
Step-by-step explanation:
Solve the word problems.
Show your work clearly.
1. Ryan started watching a movie at 20 25. The movie lasted 2 hours 25 minutes. What time did the movie end?
____h ___min
⬇️
20:25 21:25 22:25 ?
______ hours after 20:25 is _______ minutes after ______ is.
The movie ended at _____
2 hours after 20 25 is 22 25
25 minutes after 22 25 is 22 50
The movie ended at 22 50