Answer:
$2000x(1.03)ˣ
Step-by-step explanation:
This is known as compound interest.
100% + 3% = 103%, so we put this into a decimal: 1.03
We now put this into the equation:
$2000x(1.03)ˣ
If you want to work out the price after, say 3 years, then you would change x to 3, so the equation becomes
$2000x(1.03)³
You can then use a calculator to work out the answer.
Please help! Find the value of X. Round to the nearest tenth. acellus
9514 1404 393
Answer:
38.2°
Step-by-step explanation:
The law of sines tells you ...
sin(x)/15 = sin(27°)/11
sin(x) = (15/11)sin(27°) . . . . . multiply by 15
x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°
x ≈ 38.2°
_____
Additional comment
In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.
Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.
The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.
The length of a rectangular frame is 15 inches, and the width of
the frame is 9 inches. What is the length of the diagonal of this
frame in inches?
Please help
Answer:
Step-by-step explanation:
Which represents the inverse of the function f(x) = 4x?
O h(x) = X + 4
• h(x) =X- 4
O h(x) = =x
O h(x) = ÷x
PLEASEE HELP
Answer:
f^(-1) = x/4
Step-by-step explanation:
1. Starting with f(x) = 4x, replace 'f(x)' with y: y = 4x
2. Interchange x and y: x = 4y
3. Solve for y: y = x/4
4. Replace this y with 'f^(-1) = ": f^(-1) = x/4
this is confusing, i need help
Answer:
Step-by-step explanation:
2. SV ║TU
3. SV ≅TU
7. corresponding sides of congruent Δ are congruent
8. quadrilaterals that have one set of opposite sides ║ and ≅ are parallelograms
2.945 to the nearest hundredth
Answer:
2.95
Step-by-step explanation:
2.945 would round up to 2.95 because when a number is followed by 5 it rounds up.
During a film festival, the first film
ticket is priced at $16, and each
additional ticket is $11. If Rico spends
$71, then how many film tickets did
he purchase?
Answer:
3
Step-by-step explanation:
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Suppose 50% of the people in a particular population have high blood pressure. Of the people with high blood pressure, suppose 75% smoke; whereas, only 50% of the people without high blood pressure actually smoke. What percent of people who smoke have high blood pressure
Answer:
37.50%
Step-by-step explanation:
The computation of the percentage of people who smoke have high blood pressure is shown below:
Given that
There is 50% of the people who has the high blood pressure
And, out of which 75% would smoke
So, the percent of the people who smoke have high high blood pressure is
= 50% × 0.75
= 37.50%
$924 at 10.4% for 30 months
jack donates $X per month to charity. Ta the end if 10 months, he had 1250 donated in total. How much did he donate each month
Answer:
He donated $125 per month.
Step-by-step explanation:
$1250 divided by 10 months to figure out how much he payed each month.
Equation in point slope form (5,-12);m=-2/3
Answer:
y + 12 = -2/3(x - 5)
solve the equation (0°≤A≤360°)
a) √3sinA-cosA=√2
Step-by-step explanation:
√3sinA-cosA=√2
dividing both side by (√3²-1²=2 we get)
√3/2 sinA-1/2.cos A=√2/2
cos 30sinA-sin30cosA=√2/(√2×√2)
sinAcos30-cosAsin30=1/√2
sin(A-30)=sin45,sin(180-45)
therefore
A-30=45,135
A=45+30=75 or A=135+30=165
Mrs. Baker found 25 shells on the beach. She brought 2/5 of the shells to her
classroom. The rest of the shells she set on a bookshelf at her house. How many
shells did she bring to schoof? How many shells are at her house? (Show your work
on another sheet of paper if necessary.)
Answer:
A. 10 B. 15
Step-by-step explanation:
A. 25/1 * 2/5= 50/5
reduced it is 10
B. 25-10=15
Answer:
she brought 10 shells to her classroom and 15 shells to her house. Hope that helps!
The graphs show the amounts in two different bank accounts over several months.
Explain whether Account A shows a proportional relationship between months and the amount in the account.
Explain whether Account B shows a proportional relationship between months and the amount in the account.
Analyze the graph that shows a proportional relationship. Explain the meaning of the points (x,y) and (1,r) where r is the unit rate.
Answer:
where are the graphs?
Step-by-step explanation:
13
Owen and Tony are helping pick apples on their aunt's farm. Owen has picked 127 apples and Tony has picked 261 apples.
Choose the equation that can be used to find how many more apples Tony picked than Owen.
OA. ? - 261 = 127
OB. 261-127 = ?
OC. 127 - 261 = ?
OD. ?-127 = 261
Reset
Submit
Answer:
The answer is B
Shaun's earnings at $12 per hour were less than $150. Write an inequality
Answer:
I think that the answer is 12x<150
Answer:
12x<150
Step-by-step explanation:
Paul has a 40 ft. by 30 ft. pole barn on his farm that he wants to move. The southeast corner of the pole barn is currently located 50 ft. west and 25 ft. north of the stock tank where the cows get their water. Paul wants to move the pole barn so the southeast corner of the barn is located 80 feet east and 80 feet south of the stock tank
1. 1. Complete the transformation statement for moving Paul’s pole barn, (x,y) (x+ fill in the blank, y + fill in the blank)
2. Draw the new location of the pole barn on the graph below. Note that the stock tank is located at the origin
3. How far is it from the old location to the new location? (Hint: use the distance formula
Answer:
Step-by-step explanation:
(x,y) ↦ (x+130, y-105)
original position of SE corner: (-50,25)
new position of SE corner: (80,-80)
distance = [tex]\sqrt{(80-(-50))^{2}+(-80-25)^{2} }[/tex]≅167.1 ft
What is 2/5 divided 1/6
What is the value of x in the equation 3×=1
Answer:
x=1/3
Step-by-step explanation:
Mr. Norris is paid a 3% commission on each boat he sells. What is his commission on a boat that he sells for $145,000?
Answer:
3% of 145000
Step-by-step explanation:
calculator
If the Mustangs, the Braves, the Bulldogs, the Huskies, and the Vikings are playing in the same sports league,
in how many different orders can they finish their season?
Answer:
.
Step-by-step explanation:
Write an equation in slope-intercept form for the line between (2,7) and (6, 19)
Answer:
y= 3x +1
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the slope and c is the y-intercept.
Gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]
☆ (x1, y1) is the 1st coordinate and (x2, y2) is the 2nd coordinate
Using the formula above, slope of line
[tex] = \frac{19 - 7}{6 - 2} \\ = \frac{12}{4} \\ = 3[/tex]
Subst. m=3 into the equation:
y= 3x +c
To find the value of c, substitute a pair of coordinates.
When x= 2, y= 7,
7= 3(2) +c
7= 6 +c
c= 7 -6
c= 1
Thus, the equation of the line is y= 3x +1.
3. Which number is a natural number?
A-2.5
B 5-151
C-13+51
D|-81-2
Answer:
C
Step-by-step explanation:
A natural number is a number that you would use to count kids in a class for example. Like, 1,2,3,4 and so on. 2.5 is not a natural number since there cant be 2.5 of a student. 5-151 is a negative number and there cant be negative students. -13+51=38. 38 is a natural number. Now, in D it looks like there mightve been a absolute value sign but im not sure. If D has absolute value signs then D works too. Hope I could help.
evaluate the expression for the given value of the variable
4(x-4); x=7
Answer:
12
Step-by-step explanation:
substitute x = 7 into the equation:
[tex]4 (7-4)\\4(3)\\12[/tex]
Answer:
12
Step-by-step explanation:
First, you insert the 7 in place of the x. Then you do what is in the parenthesis, according to PEMDAS. 7-4 = 3. You end up with 4(3). You then do distributive property and you end up with 12.
At the beginning of spring, Arun planted a small sunflower in his backyard. When it
was first planted, the sunflower was 15 inches tall. The sunflower then began to grow
at a rate of 1.5 inches per week. How tall would the sunflower be after 3 weeks? How
tall would the sunflower be after w weeks?
Height after 3 weeks:
Height after w weeks:
Submit Answer
Answer:
height After 3 weeks: 19.5
Step-by-step explanation:
I dont know answer to second
in which graph is y a linear function of x will mark brainiest
Answer:
I think it is d
Step-by-step explanation:
hope this helps
how do you solve y+1=2x
y =2x-1
Step-by-step explanation:
Classify the equation as a conditional equation, an identity, or a contradiction. 4x+5x−15=9x−10−5
Answer:
Identity
Step-by-step explanation:
Conditional equation, an identity, or a contradiction.
Conditional equation: Two sides are equal for some value of x.
Identity: Two sides are equal for every value of x.
Contradiction: We have 0x = number that is not 0.
4x+5x−15=9x−10−5
Lets solve
[tex]4x + 5x - 15 = 9x - 10 - 5[/tex]
[tex]9x - 15 = 9x - 15[/tex]
Equal on both sides, so identity.
Answer:
conditional equation
Step-by-step explanation:
Collecting terms on both sides, we get
−4+3x−5x−2x−4=−1−10+x=x−11
Subtracting x and adding 4 to both sides of the equation, we get
−3x=−7
This can be solved by dividing by −3 on both sides of the equation, which gives a unique solution of 73. So, this is a conditional equation.
The area of the parallelogram is 315 square units. What is the height of the parallelogram?
WILL GIVE BRAINLEST
Answer:
15
Step-by-step explanation:
A÷B= H (Area divided by base equals height)
315÷21= 15
Answer:
height = 15
Step-by-step explanation:
Area of a parallelogram: Base * height
Plug in the values we know.
21 * height = 315
Divide both sides by 21
height = 15
Inverse of
f(x) = 4x+16
Please help!!!!
If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).
Answer:
The value of f(3) is -2.
Step-by-step explanation:
This is a recursive function. So
[tex]f(1) = 2[/tex]
Now, we find f(2) in function of f(1). So
[tex]f(1+1) = f(1)^2 - 3[/tex]
[tex]f(2) = f(1)^2 - 3 = 2^2 - 3 = 1[/tex]
Now, with f(2), we can find the value of f(3).
[tex]f(2+1) = f(2)^2 - 3[/tex]
[tex]f(3) = f(2)^2 - 3 = 1^2 - 3 = -2[/tex]
The value of f(3) is -2.