Answer:
$133,728 would be in the count after 12 hours.
Step-by-step explanation:
Continuous compounding:
The amount of money, in continuous compounding, after t years, is given by:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial deposit and r is the interest rate, as a decimal.
Isaac invested $77,000 in an account paying interest rate of 4.6% compounded continuously.
This means that [tex]P(0) = 77000, r = 0.046[/tex]
Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be the count after 12 years?
This is P(12). So
[tex]P(t) = P(0)e^{rt}[/tex]
[tex]P(12) = 77000e^{0.046*12} = 133728[/tex]
$133,728 would be in the count after 12 hours.
Find the value of x.
Answer:
[tex] \frac{(x - 8) + 4}{(x - 5) + 3} = \frac{4}{3} \\ \frac{x - 4}{x - 2} = \frac{4}{3} \\ 3(x - 4) = 4(x - 2) \\ 3x - 12 = 4x - 8 \\ x = - 4[/tex]
If 8 people invest each in a stamp collection and after a year the collection is worth $3,800, how much did each person lose? show work
This question is incomplete, the complete question is;
If 8 people invest $500 each in a stamp collection and after a year the collection is worth $3,800, how much did each person lose? show work
Answer:
Each person lost $25
Step-by-step explanation:
Given the data in the question;
Number people that invested = 8
Amount each invested = $500
worth after a year the collection = $3,800
Now, the amount each person lost will be;
[tex]Lost_{each-person[/tex] = Total loss / total number of persons
[tex]Lost_{each-person[/tex] = [ ( 500 × 8 ) - 3800 ] / 8
[tex]Lost_{each-person[/tex] = [ 4000 - 3800 ] / 8
[tex]Lost_{each-person[/tex] = 200 / 8
[tex]Lost_{each-person[/tex] = 25
Therefore, each person lost $25
compete the two column proof
Answer:
i cant read half the stuff on the paper
bye
Determine whether the distribution below represents a probability distribution.
x
P(x)
3
-.3
6
.5
9
.1
12
.3
15
.4
Answer:
No, not a probability distribution.
Step-by-step explanation:
It appears that one of the probabilities in the table (-.3) is negative, which is not allowed.
pls answer from exercise 14.1 a
Answer:
b = 2a - 1
Step-by-step explanation:
a = 1 , b = 2 x 1 - 1 = 2 - 1 = 1
a = 2 , b = 2 x 2 - 1 = 4 - 1 = 3
a = 3, b = 2 x 3 - 1 = 6 - 1 = 5
a = 4, b = 2 x 4 - 1 = 8 - 1 = 7
Answer:
b = 2a - 1
Step-by-step explanation:
We can see the pattern:
1 = 1 + 0 = 1 + 1 - 1
1 = 1 - 1
3 = 2 + 1 = 2 + 2 - 1
3 = 2 + 2 - 1
5 = 3 + 2 = 3 + 3 - 1
5 = 3 + 3 - 1
7 = 4 + 3 = 4 + 4 - 1
7 = 4 + 4 - 1
.
.
.
WILL GIVE BRAINLIEST anitas and caseys bills do not vary from month to month. anita pays 80 more than casey does each month. over the course of 4 months,their combined bill is 1,520. write the system of equations that describes this situation and solve it to find the montly payments for anita and casey.
Answer:
1520/4=380 per month
Step-by-step explanation:
The monthly payments for Anita and Casey are 230 and 150.
What is equation?"An equation is a formula that expresses the equality of two expressions consisting of variables and/or numbers, by connecting them with the equals sign =."
Assume
Monthly payments for Anita = x
Monthly payments for Casey = y
We have
Anita pays 80 more than Casey does each month.
We can write the equation
x = y + 80
x - y = 80 ...........................(1)
Over the course of 4 months, their combined bill is 1,520.
We can write the equation
4x + 4y = 1520...................(2)
Solving equations (1) and (2) by substituting equation x = y + 80 in equation (2)
⇒4x + 4y = 1520
⇒4(y + 80) + 4y = 1520
⇒4y + 320 + 4y = 1520
⇒8y = 1520-320
⇒8y = 1200
⇒y = [tex]\frac{1200}{8}[/tex]
⇒y = 150
Substitute y = 150 in equation (1)
⇒x - y = 80
⇒x - 150 = 80
⇒x = 80+150
⇒x = 230
Hence, the monthly payments for Anita and Casey are 230 and 150.
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Find the value of the tangent for ZA.
40 in
12 in
391
CH
91
91
10
b.
3
d.
1091
3
10
Please select the best answer from the choices provided
Answer:
a
Step-by-step explanation:
a
A football coach expects 453 people to come to the next game. A set of bleachers holds 56 fans. If each set of bleachers costs $99, will the coach need to spend more than $1,000 for the bleachers? How can you decide without using division? and links are included to but if it is to cheat i am reporting them
Answer:
No need to spend more than $ 1,000
Step-by-step explanation:
assume the coach needs 10 set
10 set will cover 10×56 = 560 people that more than 453.
so,
the cost is only 10× $99 = $ 990
that less than $ 1,000
Answer:
Fewer than 10 sets of bleachers are needed. This is because 5610 560, which is greater than 453. The cost of 10 sets of bleachers would be $9910 $ 990, which is less than $1,000. The coach will not need to spend more than $1,000 for the bleachers.
You find a mutual fund that offers approximately 6% APR compounded
monthly. You will invest enough each month so that you will have $1000 at
the end of the year. How much money will you have invested in total after 1
year?
O A. $711.32
O B. $994.60
O c. $912.86
O D. $972.84
$972.84 is invested in total after 1 year.
Correct option is (D)
What is compound interest?Compound interest is generally understood to be interest that is earned on both the original investment and any subsequent interest. Compound interest is, thus, the interest earned on both the initial principal and the interest that has already been accrued on this principal.
As per the given data:
Compounding frequency (n) = 12
Final value (FV) = $1000
Time period (t) = 12 months = 1 year
[tex]FV = P(1+\frac{r}{n})^{nt}[/tex]
FV – Future worth of the investment is the final balance in our calculation.
P – Initial balance (the value of the investment);
r – Annual interest rate (in decimal);
n – Number of times the interest is compounded per year (compounding frequency); and
t – Numbers of years the money is invested for.
Substituting the given values
[tex]1000 = P(1+\frac{0.06}{12})^{12 \times 1}[/tex]
[tex]P = \$ 972.84[/tex]
Hence, $972.84 is invested in total after 1 year.
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Write the opposite of the situation:
8 yd. gain in foot ball
pls help will give brainiest for fast and correct answer
1
Answer:
-8 yd. lost in football
Step-by-step explanation:
What is an equation of the line that passes through the points (4, -1) and
(-8, –7)?
Answer:
y=1/2x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-(-1))/(-8-4)
m=(-7+1)/-12
m=-6/-12
m=1/2
y-y1=m(x-x1)
y-(-1)=1/2(x-4)
y+1=1/2x-4/2
y=1/2x-2-1
y=1/2x-3
Answer this question pls!! (Will give Brainliest)
Answer:
22
Step-by-step explanation:
C=2πr
[tex]C=2*3\frac{1}{2} *\frac{22}{7} =2*\frac{7}{2} *\frac{22}{7} =22[/tex]
what's the answer to this? (Zearn)
Answer: 68 1/18
Step-by-step explanation:
Area of the large rectangle:
11 1/3 x 7 = 79 1/3
Area of tiled floor:
4 5/6 x 2 1/3 = 11 5/18
79 1/3 - 11 5/18 = 68 1/18
Answer:
68 1/18
Step-by-step explanation:
7 x 11 1/3 = 79 1/3
4 5/6 x 2 1/3 = 11 5/18
79 1/3 - 11 5/18 = 68 1/8
Which equation is not equivalent
Answer:
C
Step-by-step explanation:
(2x+3)(x+4) = 2x² + 8x + 3x + 12
= 2x² + 11x + 12 ≠ 2x² + 10x + 12
The length, l, that a spring is stretched varies directly as the amount of force, F, applied to the end of the spring. When a force of 10 pounds is applied to a spring, it stretches 3 inches. How much will the same spring stretch if the force is increased to 15 pounds?
A.
8 inches
B.
7.5 inches
C.
4.5 inches
D.
2 inches
Answer:
C. 4.5 inches
Step-by-step explanation:
Given the following data;
Force, F = 10 pounds
Extension, e = 3 inches
First of all, we would determine the spring constant (k) using the following formula;
Force = spring constant * extension
10 = spring constant * 3
Spring constant = 10/3
Spring constant = 3.33 pounds per inches.
Next, we would find the extension of the spring when a force of 15 pounds is applied;
F = ke
15 = 3.33 * e
Extension, e = 15/3.33
Extension, e = 4.5 inches.
Help ASAP WILL GIVE BRAINLY!!
Need help on all answers/ show work
Answer:
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What is the image of (1, -1) after a dilation by a scale factor of 4 centered at the origin?
Answer:
5, 3
Step-by-step explanation:
1,-1 enlarged by 4
New coordinates = 4 + 1 = 5
-1 + 4 = 3
The required scaled image of (1, -1) after dilation by scale factor 4 is (5,3).
As per the question, determine the image of (1, -1) after dilation by a scale factor of 4 centered at the origin.
What is the scale factor?The scale factor is defined as the ratio of modified change in length to
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph
Here,
The dilation of the coordinate by a scale factor of 4 can be given as,
x = 1 + 4 = 5
y = -1 + 4 = 3
Thus, the required scaled image of (1, -1) after dilation by scale factor 4 is (5,3).
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What is the total number of outcomes for choosing a numbered card from 1 to 10 and a number on a
number cube labeled one to six?
the total number of out comes would be 16^2 or 256.
some extra things...
A numbered card from 1 - 10 would be 1 over 10 or 10% chance of picking correctly.
a number cube from 1 - 6 would be 1 over 6 or 16.66% chance of picking correctly.
if you want to combine these and pick one from both, it becomes 1 over 16 or 6.25% chance of picking both correctly.
4. The mode of the following data set is 15, 16, 17, 23. 11, 19, 20, 15, 18, 22. 15, 19
Answer:
Step-by-step explanation:
the mode of the given data is 15 because it repeats highest number of times.
Pls help 10 ptsssssssssssss
NO LINKS
I MEAN IT I WILL FLAG YOU
Answer:
20
Step-by-step explanation:
its is 20 for both because the 0 and 20 are the same.
In AKLM, k = 7.7 cm, m = 5.8 cm and ZM=139°. Find all possible values of ZK, to the
nearest 1oth of a degree.
Answer:
no possible triangles
Step-by-step explanation:
just turn it in blank on delta
3. Which graph shows the probability distribution of the spinner (red, green, blue, yellow)?
Answer: the first graph does
Step-by-step explanation:
The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another elementary school when the population reaches 100,000. If there are currently 76,000 people living in the town, how long do they have before the new school will be needed?
Answer:
The correct solution is "4.6".
Step-by-step explanation:
Given:
Interest rate,
r = 6.2%
or,
= 0.062
Amount,
A = 100000
Principle,
P = 76000
As we know,
⇒ [tex]A=P(1+\frac{r}{100} )^n[/tex]
On substituting the values, we get
⇒ [tex]100000=76000(1+\frac{6.2}{100} )^n[/tex]
⇒ [tex](1+0.062)^n=\frac{100}{76}[/tex]
On taking log both sides, we get
⇒ [tex]n \ log_e(1.062)=log_e(\frac{100}{76} )[/tex]
⇒ [tex]n=\frac{ln(\frac{100}{76} )}{ln(1.062)}[/tex]
By putting the values of log, we get
⇒ [tex]=4.5622[/tex]
or,
⇒ [tex]=4.6[/tex]
-picture linked-
ILL MARK BRAINLIEST
PLEASE HELP ME ASAP
Answer:
a
Step-by-step explanation:
Write each percent as a common fraction
16 2/3
9514 1404 393
Answer:
1/6
Step-by-step explanation:
16 2/3% = (16 2/3)/100 = (50/3)/100 = 50/300 = 1/6
Direct Variation
There are about 100 calories in 30 grams of Swiss cheese. Ruth ate 70 grams of this cheese. About how many calories were in the cheese that she ate if the number of calories varies directly as the weight of the cheese?
a. 224
b. 280
c. 218
d. 233
Please select the best answer from the choices provided
Answer:
d.233 is the answer
Step-by-step explanation:
hope it helps you
kamal earned a total of $32500 in 2017
he paid 9% of his amount into his pension
he paid 22% tax on the remainder of his earings
what is the amount left after paying his pension and his tax???
need the working.
$32500 * 0.09 = 2925
32500-2925 = 29575
29575 * 0.22 = 6506.5
Amount left: 29575 - 6506.5 = 23068.5
Find the value of x
7-10 plsss
Answer:
Step-by-step explanation:
Hope it helps u!!
The values of x are 7) 155°, 8) 90°, 9) 140° and 10) 20°.
What is Polygons?Polygons are closed figures which has at least three set of line segments joined together.
The polygon with least number of sides is triangle.
7) It is a polygon with 4 sides (quadrilateral)
Sum of the interior angles of a quadrilateral = 360°
45° + 65° + 95° + x = 360°
x = 360° - (45° + 65° + 95°)
x = 155°
8) Sum of the interior angles of a polygon = (n - 2)180°, where n is the number of sides.
There are 6 sides.
Sum of the interior angles = (6 - 2)180° = 720°
x + 140 + 130 + 120 + 90 + 150 = 720
x = 90°
9) n = 5
Sum of the interior angles = (5 - 2) 180° = 540°
2x + 90 + 100 + 70 = 540
2x = 280
x = 140°
10) Sum of the exterior angles of a polygon is 360°.
4x + x + 98 + 162 = 360
5x = 100
x = 20°
Hence the values of x are found.
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Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of coin does she have? First complete the equations below, where N stands for nickels and D stands for dimes. [?]N + [ ]D = 1.65; N + D
Answer:
Step-by-step explanation:
Let n represent nickels & d dimes
given: n + d = 25 #1 (number of coins)
given: .05n + .10d = 1.65 #2 (amount in dollars)
n = 25 - d #3 (rewrite of #1)
.05(25 -d) + .10d = 1.65 (substitute #3 in #2)
1.25 - .05d + .10d = 1.65 (multiply out the left side)
.05d = .40 (collection of like terms)
d = 8 (divided both sides by.05)
n + 8 = 25 (substitute answer for d in #1)
n = 17 (subtract both sides by 8)
There are 8 dimes and 17 nickels.
Check:
17(.05) + 8(.10) = 1.65 (answers in #2)
.85 + .80 = 1.65 (multiply out the left side)
1.65 = 1.65 ✔️ QED
Answer: There are 8 dimes and 17 nickels.
Step-by-step explanation: 0.05N+.10D=1.65; N+D=25
Using the gross profit method, find the estimated cost of goods sold for the following data and
net sales value of $600.00 to estimate inventory if gross profit on sales is 30 percent.
• January 1 inventory: 320 serving trays purchased at $1.50 per unit cost
• April 1 inventory: 300 serving trays purchased at $1.10 per unit cost
• July 1 inventory: 100 serving trays purchased at $2.00 per unit cost
O $1,010.00
O $420.00
O $200.00
O $330.00
Answer:
$420.00
Step-by-step explanation: