Her grandfather deposits $28,680 on Dolores's eighteenth birthday.
What is a deposit?
A deposit is an amount of money that is placed into an account, typically a savings or checking account, with a financial institution such as a bank or credit union. The money deposited is held by the institution and can be withdrawn at a later time. Deposits can also refer to the act of putting money into an account.
In your example, on Dolores's tenth birthday her grandfather deposited $35 in a savings account for her. Each year, her grandfather deposited twice the amount of the previous year's deposit. On Dolores's eleventh birthday, the deposit was 352 = $70. The deposit for twelfth birthday was 702 = $140. Similarly, on Dolores's 18th birthday, the deposit was 35*2^8 = $28,680.
Hence, her grandfather deposits $28,680 on Dolores's eighteenth birthday.
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The Division Property of Equality says that for every real nurnber a, b, and c. if a =b and c #0, then Why does the property state that c+0?
Answer:
a/c = a/c
Step-by-step explanation:
That is, if a, b, and c are real numbers such that a = b and c ≠0, then
a/c = a/c
The property state that c≠0 because division by zero does not exist.
The Division Property of Equality says that for every real number a, b, and c, if a = b and c ≠ 0, then a/c = b/c.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
When "a" and "b" are divided, the outcome of the division is the amount of "a" that each of the "b" items will receive.
Therefore, if there are 20 pens and 5 students, the amount of mangoes that each student would receive is 20 ÷ 5 or 4, or 4 pens.
When a number is divided, it can be thought of as being divided equally into a total of x parts, where x is the number of parts into which the given number is divided.
The Division Property of Equality says that for every real number a, b, and c
if a = b and c ≠ 0, then a/c = b/c.
The property state that c ≠ 0 because division by zero does not exist.
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A total of $12,000 is invested in two corporate bonds that pay 7.5% and 9% simple interest. The invest wants an annual interest income of $990 from investments. What amount should be invested in the 7.5% bond?
Answer:
$13,200
Step-by-step explanation:
You need to use the simple interest formula
I = P * r * t
I = Interest accrued
P = Principal amount invested
r = Interest rate you need to divide by 100 to get it in decimal form
t = time, in years if you are given a partial year, divide the months by 12
P = $12,000
r = 7.5% = .075
t = 1
But, because we want I to equal $990 then I is
I = $990
So we ignore our P and instead solve for the P that will give us the desired result.
I = P * r * t
$990 = P * .075 * 1
$990 = P.075 Divide each side by .075
$990/.075 = P.075/.075
$990/.075 = P
$13,200 = P
So, to earn an annual interest income of $990, $13,200 will have to be invested in the 7.5% bond.
The $13,200 amount should be invested in the 7.5% bond.
It is required to what amount should be invested in the 7.5% bond.
What is simple interest ?
Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
Given that:
A total of $12,000 is invested in two corporate bonds that pay 7.5% and 9% simple interest.
We know that,
I = P * r * t
P = $12,000
r = 7.5% = .075
t = 1
I = $990
So to ignore our P and instead solve for the P that will give us the desired result.
I = P * r * t
$990 = P * .075 * 1
$990 = P.075
Divide each side by .075
$990/.075 = P.075/.075
$990/.075 = P
$13,200 = P
Therefore, $13,200 amount should be invested in the 7.5% bond.
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What is 7/10 in standard form?
Answer:
0.7 I googled it :) if its wronge I'm sorry
There are liquids of different densities together in a container. What will happen to the liquid with the lowest density? It will move to the bottom. It will move to the top. It will bubble out as a gas. It will form a solid.
Answer:
It will move to the top.
Step-by-step explanation:
The liquid with the lowest density will move to the top. Therefore, option B is the correct answer.
Given that, there are liquids of different densities together in a container.
We need to determine what will happen to the liquid with the lowest density.
What is density?The density, of a substance, is its mass per unit volume.
The density of a liquid determines whether it will float on or sink in another liquid. A liquid will float if it is less dense than the liquid it is placed in. A liquid will sink if it is denser than the liquid it is placed in.
Now, the liquid with the lowest density will move to the top.
Therefore, option B is the correct answer.
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(4/3)(3/4)-1 equals ??
Answer:
0
Step-by-step explanation:
4/3 * 3/4 is 1, as we have 3*4 / 4*3 = 12/12 = 1.
A number multiplied by their reciprocal is always 1.
1 - 1 = 0.
Answer:
0
Step-by-step explanation:
(4/3)(3/4)-1
Rewriting
4/4 * 3/3 -1
1*1 -1
1-1
0
Express each product in the simplest form. A. wx/6 B. wx/3 C. 2/3/wx D. wx
Answer:
A) [tex]\frac{wx}{6}[/tex]
Step-by-step explanation:
[tex]\frac{3wx}{6x}\cdot \frac{3wx}{9w}[/tex]
Multiply:
[tex]\frac{3wx\cdot \:3wx}{6x\cdot \:9w}[/tex]
Cancel off the common factor "w":
[tex]\frac{3x\cdot \:3wx}{6x\cdot \:9}[/tex]
Cancel off the common factor "x":
[tex]\frac{3\cdot \:3wx}{6\cdot \:9}[/tex]
[tex]\frac{9wx}{54}[/tex]
Cancel off the common factor "9":
[tex]\frac{wx}{6}[/tex]
5+7(8r -2)
equivalent expression
Answer:
hope this helped you
please mark as the brainliest (ㆁωㆁ)
Find the midpoint of the line segment with the given endpoints A (-5,9), B (5,7)
A.(-5,1)
B.(2,6)
C.(0,8)
D.(15,5)
Answer:
The answer is option CStep-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A (-5,9), B (5,7)
The midpoint is
[tex]M = ( \frac{ - 5 + 5}{2} \: , \: \frac{9 + 7}{2} ) \\ = ( \frac{0}{2} \: , \: \frac{16}{2} )[/tex]
We have the final answer as
( 0 , 8)Hope this helps you
What is 7x+5=5x+17
Answer:
x=6
Step-by-step explanation:
When you have 7x+5=5x+17, you try to get the variables on one side and the constants on the other. Subtract 5x from the right and from the left: 2x+5=17. Next, subtract 5 from the left and from the right: 2x=12. The last step is to get rid of the coefficient of x and to do that divide it by the coefficient(in this case divide both sides by 2). After dividing 2x and 12 by 2 you get x=6.
Luca make $20 an hour, plus $40 as a bonus once a week. How many hours must he work to make more than $520?
Answer:
26 hours
Step-by-step explanation: divide 520 by 20 which gets you 26 .
to work 26 hours youll make exactly 520 dollars plus the for dollars is 560 which is more than 520
5, 0, 1,4)
find the midpoint of the line segment
Answer:
From what I see as coordinates this is your answer MP=(3,2)
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2})(\frac{y_1+y_2}{2})[/tex]
[tex]MP= (\frac{5+1}{2})(\frac{0+4}{2})[/tex] 5+1=6 0+4=4
[tex]MP= (\frac{6}{2})(\frac{4}{2})[/tex] 6/2=3 4/2=2
[tex]MP= (3,2)[/tex]
what is the square cube law?
Answer:
The square–cube law (or cube – square law) is a mathematical theory, implemented in a number of scientific contexts, which defines the relationship between the volume and the surface area as a shape 's size increases or decreases.
Hope this helps!
Answer:
Step-by-step explanation:
The square–cube law is a mathematical principle, applied in a variety of scientific fields, which describes the relationship between the volume and the surface area as a shape's size increases or decreases.
what is the value of f(5) in the function below
f(x)=1/4*2^x
Answer:
16 is your answer
Step-by-step explanation:
The value of [tex]f(5)[/tex] in the function is 8.
Solve the equation 3(4x - 5) - 27
Answer:
12x-42
Step-by-step explanation:
Answer:
6(2x-7)
Step-by-step explanation:
first factor the steps: 3(4x-5)-27
Calculate: 3(4x-5-9)
Factor expression: 3(4x-14)
Mulitply 3x2(2x-7)
Answer: 6(2x-7)
which do you chose i need help!!
Is 1 3/7 a rational number
Answer:
it is a rational number
Step-by-step explanation:
Given g(x) = 4x – 4, solve for x when g(x) = 0.
Answer:
x=1
Step-by-step explanation:
0=4x-4
-4=4x
x=1
hope this helps:)
What is 78552 rounded to the nearest thousand
Answer: 79000 i hope this helps and pls mark me as brainliest
How do I solve this
Answer:
Step-by-step explanation:
(x + 5)(x + 2)
x^2 + 2x + 5x + 10
x^2 + 7x + 10
somebody help and explain PLEASE
Use the number line below, where , , and . a. What is the value of y? b. Find RS, ST, and RT. R S T a. What is the value of y? y nothing (Type an integer or a decimal.)
Answer: ?
Step-by-step explanation: because
Lawrence's parents pay him a base allowance of $10 per week and $3.20 per hour for extra chores
he completes. Mr. Williams pays Lawrence $7.80 per hour to fix broken washing machines at the
laundromat. Which equation models Lawrence's total weekly income?
5. Find the value that makes each statement true.
2*? = 2
-2*? = -2
2 *? = 1
-2*?=1
Answer:
The total number of seconds in a year is 32,000,000 when rounded to the nearest million. It is 31,500,000 when rounded to the nearest hundred thousand.
Step-by-step explanation:
Which could be the total number of seconds in a year?
A.
31,092,000 seconds
B.
31,476,000 seconds
C.
31,536,000 seconds
D.
31,592,000 seconds
2. A television network counted 1,771,548 viewers watching the golf tournament on its channel. There were 5,861,014 viewers watching a football game on another channel.
Round each number to the nearest hundred thousand.
About how many viewers were watching the two events on television?
A.
7,500,000
B.
7,600,000
C.
7,700,000
D.
8,000,000
3. The longest bridge in the world is located in China. It is164,800 meters long. Another bridge in China is 69,732 meters long.
Round each length to the nearest ten thousand to find the answer.
What is the approximate difference between the lengths of the two bridges?
4. Amber is solving this problem.
252
× 605
What are the partial products Amber will need to solve the problem?
A.
1,260 and 151,200
B.
1,260 and 1,512
C.
1,260 and 15,120
D.
1,260 and 2,520 and 151,200
5. A rectangular garden with a width of 42 feet has an area of 2,814 square feet.
What is the length of the garden?
6. Which number sentences show how to solve the problem?
Sasha’s family donated 12 boxes of canned vegetables to the food pantry. There are 24 cans in each box. Three boxes are filled with canned peas; the rest are filled with canned corn. How many cans of corn did Sasha’s family donate to the food pantry?
Choose all answers that are correct.
A.
12 – 3 = 9 and 9 × 12 = 108
B.
12 – 3 = 9 and 9 × 24 = 216
C.
3 × 24 = 72 and 3 × 12 = 36 36 + 72 = 108
D.
12 × 24 = 288, 3 × 24 = 72, and 288 – 72 = 216
7. There are 15 rows of diamond rings in a case in the jewelry store. There are 24 rings in each row. Another case has 12 rows of rings with a variety of colored stones and has 18 rings in each row.
How many more diamond rings than rings with colored stones are in the jewelry store?
8. The florist has 195 carnations and 127 daisies. She uses them to make 14 bouquets. Each bouquet has the same number of flowers.
How many flowers are in each bouquet?
9. Which statements are true about the value of the digits in the number 5,555,555?
Choose all answers that are correct.
A.
The digit in the thousands place is 1/5 the value of the digit in the ten thousands place.
B.
The digit in the hundred thousands place is 1/10 the value of the digit in the millions place.
C.
The digit in the ten thousands place is 10 times the value of the digit in the thousands place.
D.
The digit in the hundreds place is 50 times the value of the digit in the tens place.
10. Carlos says there are a total of 6,000 hundreds in the number 6,000,000.
Is Carlos correct?
A.
Yes, Carlos is correct.
B.
No, Carlos is not correct. There are exactly 600 hundred thousands in 6,000,000.
C.
No, Carlos is not correct. There are exactly 600 thousands in 6,000,000.
D.
No, Carlos is not correct. There are exactly 6,000 thousands in 6,000,000.
Serena has $50 to spend. She buys 5 packages of hotdog buns and 5 packages of beef hotdogs. Each package of buns cost $3.85 and each package of beef hotdogs cost $4.20. How much money does Serena have left after these purchases?
write the decimal for 1/8. Explain why this decimal is called a terminating decimal.
Answer:
The decimal is 0.125
Step-by-step explanation:
The greatest common factor (GCF) of 1 and 8 is 1. Convert 1/8 to its simplest form by dividing the numerator and denominator by its GCF and you get
1/1=1
- -
8/1= 1 over eight
Estimate the product of 67 and 73 by rounding each number to the nearest ten before multiplying.
Answer:
67 rounds to 70
73 rounds down to 70
70 times 70 is 1400
Answer: 67-> 70
73-> 70
70+70 = 140
67+73≈140
The number 0.3333... repeats forever, therefore, it is irrational.
A. True
B. False
Answer:
B. False
Step-by-step explanation:
If the decimal goes on and on forever and never stops or begins to repeat predictably, it's irrational. If the decimal stops after a finite number of digits or begins to repeat predictably, it's rational.
20x + 7 - 4x = 87
How do you do this
Answer:
x= 5
Step-by-step explanation:
20x + 7 - 4x = 87
you start by combining like terms = 20x - 4x = 16x
16x + 7 = 87
next you want to isolate the variable so you would subtract 7 from both sides .
16x + 7 = 87
-7 . -7
16x = 80
then you divide by 16 on each side
x = 5
Answer:
x=5
Step-by-step explanation:
Subtract 4x from 20x.
16x + 7 = 87
Move all terms not containing x to the right side of the equation.
Subtract
7
from both sides of the equation.
16x = 87 − 7
Subtract 7 from 87.
16x = 80
Divide each term by 16 and simplify.
x=5
I need the answer asap
Answer:
3a-21
Step-by-step explanation:
You multiple 3 with the inside of the parenthesis. 3 time a = 3a and 3 times negative 7 is -21
Ex 1: The sum of two numbers is 93 and their difference is 41.
Find them.
