Answer:
$3,113,34
Step-by-step explanation:
The formula for calculating compound interest is
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where
A=the future total value, i.e, the money you will have after t years.
P=the initial deposit.
r=the annual interest rate.
n=the number of times that interest is compounded per year.
t=the number of years the money is saved.
In our case
A is unknown and we will have to calculate it with the formula.
P=$12,000
r=2.9%=0.029
n=365 because the interest is compounded daily and there are 365 days in a year
t=8 years
Applying the formula we get
[tex]A=12,000(1+\frac{0.029}{365})^{365\times8}[/tex]
[tex]A=12,000(1+\frac{0.029}{365})^{2,920}[/tex]
[tex]A=12,000(1.000079)^{2,920}[/tex]
So A=15,113.336
This is the amount of money you would have after 8 years.
Subtracting the initial deposit from this amount we obtain the interest earned I
I=15,113.336-12,000=3,113.336
Rounded to the nearest hundreth
I=$3,113,30
Jessica picked oranges for 2 days during school vacation. She was paid $0.45 per basket for the first 100 baskets picked each day and $0.50 apiece for all baskets over 100 picked. On the first day, Jessica picked 65 baskets of oranges. On the second day, she picked 135 baskets. What is the total amount of money that Jessica received for picking oranges?
SHOW ALL WORK
Answer:
$91.75
Step-by-step explanation:
Jessica is paid:
$0.45 per basket for the first 100 baskets picked;$0.50 per basket for all baskets over 100 picked.1st day:
Jessica picked 65 baskets of oranges (less than 100)
Jessica is paid [tex]65\cdot \$0.45=\$29.25[/tex]
2nd day:
Jessica picked 135 baskets of oranges (35 more than 100)
Jessica is paid [tex]100\cdot \$0.45+35\cdot \$0.50=\$45+\$17.50=\$62.50[/tex]
Altogether Jessica is paid
[tex]\$29.25+\$62.50=\$91.75[/tex]
Name of Ride
Tickets Sold
314,890
Wild Mouse
Tilt-a-Whirl
198,572
Big Roller Coaster
255,429
Water Slide
Spinning Tea Cups
320,040
189,403
1. Find the value of the ten thousands place for the Big Roller Coaster.
How is the value of the digit in the ten thousands place different
from the value of the digit in the thousands place?
Answer:
1. The value is 50,000 The value in the ten thousands place is different than the place value of the thousands place by a power of 10.
Step-by-step explanation:
The value in the ten thousands place for the Big Roller Coaster tickets is 5, which is ten times greater than the value in the thousands place, also 5, due to the base-10 number system.
Explanation:The value of the ten-thousands place for the number of tickets sold for the Big Roller Coaster, which is 255,429, is 5. This is obtained by looking at the digit in the second place from the left.
The value of the tens place is different from the value of the thousands place because each place represents a different power of 10.
In the number 255,429, the number in the thousands place is 5, which actually represents 5,000 (5 x 1,000), while the number in the ten thousands place is also 5, but it represents 50,000 (5 x 10,000).
Thus, the value in the tens place is ten times greater than the value in the thousands place in the base-10 number system.
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three less than a number is halved to give six
Answer: x-3/2=6
Step-by-step explanation: The terms "less than" means to subtract, and to flip the terms provided. This gives you x-3. Halved suggest to divided by 2. Now you have x-3/2=6.
What is ten times a number, increased by nine, is 59
Answer:
5
Step-by-step explanation:
10 times 5 = 50
50 + 9 = 59
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The number is = 5
Find the missing numberLet's take the number to be = X
Ten times a number= 10 × X = 10x
Increased by 9 is 59 = 10x + 9 = 59
To find X,
10x = 59 - 9
10x = 50
make X the subject of formula,
X = 50/10
X = 5
Therefore, the number is 5
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Is 29,116 a Rational number,Whole number or Integer
whole number
Step-by-step explanation:
And the reason is because it doesn't have decimals or fractions in it.
PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!! EXTRA POINTS!!!
What is the sum of the degrees of the interior angles of a 19-gon?
What is the sum of the exterior angles of a 25-gon?
A. 180
B. 360
C. 4,140
D. 165
Answer:
161.5 degrees
c- 4, 140
Answer: C
Step-by-step explanation: Subtract 2 from 25 to get 23. Then, multiply by 180. This equals 414p
As for the 19-gon, the sum is 360
There are 1,094,786 active lawyers living in the country. If 71.8% of these lawyers are male, find (a) the percent of the lawyers who are female and (b) the number of lawyers who are female.
What is The __% of the lawyers are female.
Answer:
28.2%, 786056
Step-by-step explanation:
100-71.8%=28.2%
1094786-(1094786*28.2%)≅786056
given the domain (-2,2,4) what is the range for the relation 3x-y=3
Final answer:
The range for the relation 3x - y = 3 with the domain (-2,2,4) is calculated by substituting each domain value into the equation, resulting in the range (-9, 3, 9).
Explanation:
To find the range for the relation 3x - y = 3 given the domain (-2,2,4), we need to substitute each value from the domain into the equation and solve for y. Here's how you do it step by step:
For x = -2: 3(-2) - y = 3; -6 - y = 3; y = -6 - 3; y = -9.For x = 2: 3(2) - y = 3; 6 - y = 3; y = 6 - 3; y = 3.For x = 4: 3(4) - y = 3; 12 - y = 3; y = 12 - 3; y = 9.The range for the given domain is (-9, 3, 9).
What is the answer ? Explain.
Answer:
152
Step-by-step explanation:
4(3x + 5)
4(3(11) + 5)
4(33 + 5)
4(38)
152
One number is five less than three times another number. If the sum of the numbers is 3, find the numbers.
Answer:
First number 2
Second number 1
Step-by-step explanation:
Let the first number = x
Let the second number = 3x - 5
Equation
x + 3x - 5 = 3
Solution
x + 3x- 5 = 3 Combine
4x - 5 = 3 Add 5 to both sides
4x - 5 + 5 = 3 + 5 Combine
4x = 8 Divide by 4
4x/4 = 8/4 Combine
x = 2
3x -5 = 3(2)- 5 = 1
I need help on 4,5,6, and 7.
Answer:
A closed dot means (or equal to) which i will be signifying with bold numbers
3) 2 < x > 5
4) 5 < t > 3
5) -3 < m > -1
6) -2 < x < -6 (This one feels like its not right but I cant find a better way to state it)
7) 36 > Fridge < 46
Wanda has 8 bananas, 20 oranges, and 12 apples. She wants to put an equal amount of each type of fruit into baskets. What is the greatest number of pieces of fruit Wanda can put in each basket?
Hey!
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Solution:
Find the Highest Common Factor of 8, 12, and 20.
Highest Common Factor = 4
Divide.
8 / 4 = 2
12 / 4 = 3
20 / 4 = 5
4 symbolizes the amount of baskets there are.
---------------------------------------------
Answer:
2 banana's per basket.
3 apple's per basket.
5 orange's per basket.
---------------------------------------------
There is no possible way that there can be the same amount of fruit in each basket.
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Hope This Helped! Good Luck!
what is the excluded value of x / x^2 +2x -3
Answer:
x = - 3 and x = 1
Step-by-step explanation:
Given the rational expression
[tex]\frac{x}{x^2+2x-3}[/tex]
The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be, that is
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Thus x = 1 and x = - 3 are both excluded values
Hannah has some scraps of ribbon measuring 3.52 meters, 17.3 meters and 27.009 meters. Does she have enough to do a project requiring 50 meters of ribbon? If yes, how much ribbon will she have left? If no, how much more ribbon does she need?
Answer:
No, 2.171m.
Step-by-step explanation:
Add all of measurements. 3.52+17.3+27.009=47.829
Compare 2 numbers.
47.829<50
So she needs more ribbon,because the length she has is less the requirement, 50m.
Find the difference(the length she needs).
50-47.829=2.171
A toll bridge in Maine in the early 1900s charged $0.02 per person and $0.0625 for a dozen sheep. How much would the toll cost for 3 people and 4 dozen sheep?
Solve for x in the equation x^2 + 2x+1 = 17
A) X= 1+ /15
B) X=-1+ /17
C) X=2+2/16
D) X=13 /13
Answer:
B
Step-by-step explanation:
X^2+2x+1-17=0
X^2+2x-16=0
[tex]x = - 1 + \sqrt{17} [/tex]
Match the congruent parts of the two triangles using the following information: ∆LQJ≅∆XYA
Answer:
2.XA is congruent to LJ
4.angle L is congruent to angle L
1.angle A is congruent to angle J
3.YA is congruent to QJ
Step-by-step explanation:
...
Linear? y = 4xTrueFalse
Answer: True
Step-by-step explanation:
A linear function is of the form: y = mx + b where
m is the slope (rise over run)b is the y-intercept (where the line crosses the y-axis)The given equation is y = 4x
In this equation, m = 4 and b = 0 so it is a linear function.
Kristen read a total of 20 books over 4 months. After belonging to the book club for 5
months, how many books will Kristen have read in all? Assume the relationship is directly
proportional.
Answer:
25
Step-by-step explanation:
20 books in 4 months is 5 books in 1 month.
20÷4=5
4÷4=1
1×5=5
5×5=25
The table represents a linear function.
What is the slope of the function?
The slope of a linear function is determined by finding the rate of change between any two points on the line.
Explanation:The slope of a linear function can be determined by finding the rate of change between any two points on the line. To do this, you can calculate the difference in the y-coordinates and divide it by the difference in the x-coordinates. For example, if two points on the line are (2, 5) and (4, 9), the slope would be (9 - 5) / (4 - 2) = 4 / 2 = 2.
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The correct answer is a. -6.
To find the slope of the linear function represented in the table, we will use the slope formula:
m = (y2 - y1) / (x2 - x1)
Let's calculate the slope using the points given in the table:
Point 1: (-2, 8)
Point 2: (-1, 2)
Applying these values to the slope formula, we get:
m = (2 - 8) / (-1 - (-2))
This simplifies to:
m = (-6) / (1)
So, the slope is -6.
Therefore, the correct answer is a. -6.
Which of these is the graph of −2−3i ?
Answer:
-2-3i in the complex plane would be 2 units to the right of the origin and
3 units below the Real number line.
Step-by-step explanation:
Think of the complex plane as being the Cartesian plane but with the X-axis replaced by the Real component of a complex number and the Y-axis replaced by the imaginary component.
1/4t+4=3/4(t+8) solve with steps Please
Answer:
t = -4
Step-by-step explanation:
1/4t + 4 = 3/4t + 6 because 6 is 3/4 of 8
-1/2t + 4 = 6 because you subtract 3/4 from both sides
-1/2t = 2 because you subtract 4 from each side
t = -4 because you divide each side by -1/2
What is the least common multiple of 15 and 90
Answer:
90
Step-by-step explanation:
Divide the larger number by the smaller number
If the remainder is zero then the larger number is the LCM
If not repeat with multiples of larger number
90 ÷ 15 = 6 remainder 0
Since remainder is 0 then 90 is the LCM of 15 and 90
What is the measure of <R?
Answer:
<R=23°
Step-by-step explanation:
The sum of angles in a triangle is 180°
So, <R + <S + <T = 180°
<R+90°+67°=180°
<R+157°=180°
<R=23°
Write an integer to represent each situation.
1. 46 degrees below zero
Answer:
= -46
Step-by-step explanation:
Since, it is below zero, it is in the negatives. Therefore, it is -46.
Answer:
-46
Step-by-step explanation:
Anything below zero is going to be a negative integer. Your problem asks to write an integer to represent 46 degrees below zero. So, we would write the number 46 with the negative symbol, which is ( - ). There for the correct answer would be -46.
Here are some other examples:
54 degrees below zero → -54
negative 120 → -120
16 degrees below zero → -16
What is a part of a line hat consists of two points called endpoints, and all the points on the line that are between the endpoints
Answer:
i think that is called a line segment
Step-by-step explanation:
Answer:
line segment
Step-by-step explanation:
To solve this equation: d/5 + 12 = -15, which step will be performed last?
Let's go through the steps.
d/5 +12 = -15
1. Multiply both sides by 5.
Doing this we get:
d + 60 = - 75
2. Subtract 60 from both sides.
d = - 75 - 60
d = -135
Step 2 above is the final step taken to find the value of d.
Can some help me pleaseeee.
Answer:
I cant answer it because it blocked the equation can you show the details on text?
Step-by-step explanation:
Makayla runs a farm stand that sells raspberries and peaches. Each pound of raspberries sells for $2 and each pound of peaches sells for $3. Makayla sold 6 more pounds of peaches than pounds of raspberries and made $103 altogether. Determine the number of pounds of raspberries sold and the number of pounds of peaches sold
Answer:
The number of pounds of raspberries sold was 17 and the number of pounds of peaches sold was 23
Step-by-step explanation:
Let
x ----> the number of pounds of raspberries sold
y ----> the number of pounds of peaches sold
we know that
[tex]2x+3y=103[/tex] -----> equation A
[tex]y=x+6[/tex] -----> equation B
Solve the system by substitution
Substitute equation B in equation A and solve for x
[tex]2x+3(x+6)=103[/tex]
[tex]2x+3x+18=103[/tex]
[tex]5x=103-18[/tex]
[tex]5x=85[/tex]
[tex]x=17\ pounds[/tex]
Find the value of y
[tex]y=17+6=23\ pounds[/tex]
therefore
The number of pounds of raspberries sold was 17 and the number of pounds of peaches sold was 23
What is the distance between the points 4, 10 and -3 ,-14
Answer:
the difference is 25.
Step-by-step explanation: