How much money would you need to deposit today at 7% annual interest
compounded semi animally to have $50,000 in the account after 6 years?*
Answers
Answer:
$33,090.
Step-by-step explanation:
The formula is A = P( 1 + r/2)^2n so we have:
50,000 = P(1 + 0.07/2)^(6*2)
50000 = P * 1.035^12
P = 50000/ 1.035^12
= $33,090 to the nearest dollar.
Related Questions
A bakery charges $14.00 for 4 croissant sandwiches. What is the unit rate, in dollars per sandwich?
Answers
Answer:
3.5 per
Step-by-step explanation:
14/4=3.5
Which of the following equations has no real solutions?
A.
4(x + 2) = 4(x + 11)
B.
4x − 2 = 4x − 2
C.
4(x − 2) = 4x − 8
D.
4x − 2 = 8x − 2
Answers
Answer:
[tex]4(x + 2) = 4(x + 11)[/tex] (The first one)
Step-by-step explanation:
(30-3) divided by 3
Show the work please
Answers
Answer:
9
Hope I helped
Wilma estimates that she'll drive about 18,000 miles during the year. The car she wants to purchase gets an
average of 24
miles per gallon, and the average cost per gallon of gas in her neighborhood is $2.72. Locate the error in her calculations,
and select the correction.
Step 1
18,000 miles/year
18.000 miles = 1,500 miles/month
12 months
Step 2
1.500 miles/month
125 gallons/month
12 miles/gallon
Step 3
(125 gallons/month) x ($2.72/gallons) = $340 cost/month
Answers
Given parameters:
Distance in a year = 18000miles
Car mileage = 24miles/gallon
Average cost per gallon = $2.72 per gallon
Problem;
Find the error in her calculation;
Step 1
18,000 miles/year
18, 000 miles = 1,500 miles/month -- Since there are 12months in a year
12 months
Step 2
1500 miles/month
Car mileage = 24miles/gallon
Gallons per month; [tex]\frac{1500}{24}[/tex] = 62.5gallons/month
125 gallons/month this is an error and should be 62.5gallons/month
12 miles/gallon should be 24miles per gallon
Step 3
(125 gallons/month) x ($2.72/gallons) = $340 cost/month
Correct
Step 2 is wrong because it uses wrong values.
Answer:
Option 1
Step-by-step explanation:
Wilma made a mistake is step 2. Instead of dividing by 12, she should have divided by 24. She should budget $170 per month for fuel expenses.
What percent of 106 is 67?
Answers
Answer:
~63%
Step-by-step explanation:
67/106
=0.63207 × 100
= 63.207% or just 63%
How to measure 1 cup of milk
Answers
Answer:
you get a one cup measurments and pour milk to the 1
Step-by-step explanation:
ive done it before
what inequality does this graph represent?
Answers
B
Step-by-step explanation:
Answer:
y ≤ 3x - 2Step-by-step explanation:
Let's get the line using 2 points of the graph:
(0, -2) and (1, 1)Slope-intercept formula:
y = mx + bm = (1 - (-2))/(1 - 0) = 3/1 = 3b = - 2 as per (0, -2) pointSo the line is:
y = 3x - 2The line is solid and shaded area is lower part, therefore the inequality is:
y ≤ 3x - 2What is the domain of the function f(x) = x+ 2?
Answers
Answer: Choice D) [tex]x \ge -6[/tex]
=========================================================
Explanation:
Taking the square root of a negative number leads to a nonreal result.
So we want the radicand to be 0 or positive
Set the stuff under the square root to be 0 or larger. Solve for x.
[tex]\frac{1}{3}x+2 \ge 0\\\\\frac{1}{3}x \ge 0-2\\\\\frac{1}{3}x \ge -2\\\\x \ge 3(-2)\\\\x \ge -6[/tex]
If x is -6 or larger, then [tex]\frac{1}{3}x+2[/tex] is 0 or larger leading to some real number for f(x).
The inequality sign does not flip because we multiplied both sides by a positive number. The inequality sign only flips when we multiply both sides by a negative number.
What is the equation of the line that passes through the point (1,7) and has a slope of −1?
Answers
Answer:
y = -x+8
Step-by-step explanation:
How much does an ice cream cost with 11 ounces of toppings?
Answers
$3.00 for ice cream
+ $2.00 for the 4 ounces of toppings
$5.00
hope it helps!!
SMILE!!
Identify the values of variables x, y, and z based on the image given of the angles formed by a transversal and parallel lines
Answers
Answer:
[tex]x=62\\y=94\\z=94[/tex]
Step-by-step explanation:
Let's start by identifying relevant angle theorems for two parallel lines cut by a transversal.
Alternate Interior Angles Theorem
Two angles that are on different sides of the transversal and inside of the two parallel lines are congruent (=).
Alternate Exterior Angles Theorem
Two angles that are on different sides of the transversal and outside of the two parallel lines are congruent (=).
Same-side Interior Angles Theorem
Two angles that are on the same side of the transversal and inside of the two parallel lines are supplementary (= 180).
Same-side Exterior Angles Theorem
Two angles that are on the same side of the transversal and outside of the two parallel lines are supplementary (=180).
Corresponding Angles Theorem
Two angles on a figure that correspond are congruent (=).
_
Now, let's look at the figure and apply these theorems.
[tex]z[/tex] and [tex]86[/tex] are same-side exterior angles, meaning they're supplementary:
[tex]z+86=180[/tex]
Subtract [tex]86[/tex] from both sides of the equation:
[tex]z=94[/tex]
Now that we know our [tex]z[/tex] value, let's recognize that [tex]z[/tex] ([tex]94[/tex])corresponds to [tex]x+32[/tex], meaning they're congruent:
[tex]x+32=94[/tex]
Subtract [tex]32[/tex] from both sides of the equation:
[tex]x=62[/tex]
Let's find the value of the angle:
[tex](62)+32[/tex]
Add:
[tex]94[/tex]
Since the corresponding angles are of the same value, they're congruent, proving our [tex]x[/tex] & [tex]z[/tex] values correct.
_
Since [tex]y[/tex] and the angle represented by the expression [tex]x+32[/tex] ([tex]94[/tex]°) are alternate-interior angles, they are congruent:
[tex]y=94[/tex]
Solve | x-1|+5=2 graph the solution (s), if possible.
Answers
Answer:
x = -2, 4
Step-by-step explanation:
find the solutions by first subtracting 5 from both sides.
|x-1| = -3
create 2 equations, one with pos. 3 and one with neg. 3.
|x-1| = -3
|x-1| = 3
solve both equations. you can ignore the absolute value signs now.
x = -2
x = 4
those are your two solutions!
i am trying to find a no solution problem with this as the set up of the problem
__x+__=__x+__
Answers
Try this equation
Express your answer in scient 9.3.107 - 3.4.106 Stuck? Watch a video
Answers
Answer:
o resultado coreto é 59.001
The price of a video game was reduced from $60 to $45. By what percentage was the price of the video game reduced? GIVE ME THE ANSWER THE CORRECT ANSWER!!!!
Answers
Answer: 25% decrease
Step-by-step explanation:
can someone tell me how to do this I am so confused
Answers
Answer:
I think it is D.
Step-by-step explanation:
Which graph shows a minimum fee of $10
Answers
Answer:
I dont see the graphs
Step-by-step explanation:
But thanks for the point lol
Help me solve this please 50 for this one problem
Answers
Answer: I can't write it with the cromebook i'm on but the answer is in the picture
Step-by-step explanation:
find the expression for the perimeter of a rectangle with sides of 2x + 1 and 10x
Answers
let's see what to do buddy...
perimeter of rectangular =
[tex]2( \: (2x + 1) + (10x) \: ) = 2(12x + 1) = 24x + 2[/tex]
Step 1: y minus (negative 2) = three-fourths (x minus 3). Step 2: y + 2 = three-fourths x minus StartFraction 9 Over 4 EndFraction. Step 3: y + 2 + 2 = three-fourths x minus StartFraction 9 Over 4 EndFraction + StartFraction 8 Over 4 EndFraction. Step 4: y = three-fourths x minus one-fourth.
A student used the point-slope form to write the equation of a line that has a slope of Three-fourths and passes through the point (3, –2). The student’s work is shown to the left.
Examine the steps to determine whether the student made an error.
The student made
Answers
Answer:
The student made an error in step 3
Step-by-step explanation:
I did it on edge 2020 and have a cat witness
Answer:
he made an mistake in problem 3
Step-by-step explanation:
have a good day
did it on edge
I have a polygon 4 angles angle A is 3x angle B is 4x angle C is 2x and angle D is just x please help
Answers
Answer:
36 degrees =x
Step-by-step explanation:
If the polygon has 4 angles then it is a quadrilateral and must have 360 degrees. you can see that all angles in that polygon added up are 10x. If 10x=360 then x= 36 degrees, 2x=72 degrees, 3x=108 degrees, 4x=144 degrees
Answer:
36 degrees =x
Step-by-step explanation:
Math
How long a ladder must you have to reach the top of a 15-foot wall if the bottom of the ladder is placed 4 feet from the
base of the wall? Round to the nearest tenth of a foot.
14.511
15.5 ft
O 17.01
1901
Answers
Answer:
Its not 17.0
Step-by-step explanation:
I dont know what the answer is but that other guy up there is incorrect
I need help forming an equation
Answers
Answer:
21=1/2n+5
There were 32 volunteers on the first day
Step-by-step explanation:
number of volunteers on the first day=n
21=number of volunteers on the second day
21=1/2n+5
Hope it helps
what is 45.7 rounded? does anyone know?
Answers
Answer:
46
Step-by-step explanation:
Answer:
45.7, rounded, would be 46.
During her first year of college, Sara put $2000 in the bank to save for a trip to Italy after graduation. The money earned 3% simple annual interest. After 4 years, how much money did she have in the bank for her trip?
Answers
a lotStep-by-step explanation:
Answer:
2,240
Step-by-step explanation:
Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Investment of Sara during her 1st year of college = US$ 2,000
Duration of the investment = 4 years
Annual interest rate = 3%
2. Let's find the future value of this investment after 4 years, using the following formula:
FV = PV * (1 + r) ⁿ
PV = Investment of Sara during her 1st year of college = US$ 2,000
number of periods (n) = 4
rate (r) = 3% = 0.03
Replacing with the real values, we have:
FV = 2,000 * (1 + 0.03) ⁴
FV = 2,000 * (1.03) ⁴
FV = 2,000 * 1.12550881
FV = 2,251.02
Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy. Later you round the answer and that gives you 2,240
plz mark me brainliest
Rudy took a test and earned a 92%. If Rudy answered 46 questions correctly, how many questions were on the test?
How many questions did he answer incorrectly?
How many questions would have to be correct if he made an 88%?
Answers
Answer:
50
4 were incorrect
44/50 would make it 88%
Step-by-step explanation:
Answer:
1. There are 50 questions on the test.
2. He answered 4 questions incorrectly.
3. To make an 88 he would have gotten 44/50 questions right.
A car travels 196 miles in 3.5 hours. Which of the following is NOT an equivalent number of miles per hour?
Answers
Answer:
56mph
Step-by-step explanation:
Lincoln is measuring the angles of quadrilateral WXYZ to determine whether it is congruent to the quadrilateral below.
Quadrilateral R S T Q. Angle R is 140 degrees, angle S is 94 degrees, angle T is 79 degrees, and angle Q is 47 degrees.
Which pair of measurements are possible if they are congruent figures?
Answers
Answer:
The answer is D
Step-by-step explanation:
Find the y-intercept of the line on the graph.
Answers
Answer:
2
Step-by-step explanation:
Answer:
(0,3)
Step-by-step explanation:
(0,3) is where the line intersects the y- intercept.
What is the slope of the line that passes through (4,7) and (5,8)
Answers
Answer:
slope = 1
Step-by-step explanation:
y=1x+3