Caroline is going to invest $66,000 and leave it in an account for 9 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Caroline to end up with $108,000?
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Answer: 5.47 on delta math
Step-by-step explanation:
Related Questions
Subtraction 9/4 - 9/8
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9/4-9/8 = 1.125 -> 1 1/8
Answer:
9/4-9/8=9/8
Step-by-step explanation:
first you need a common denominator so 9/4x2/2 = 18/8. then you subtract 18/8-9/8=9/8.
What is the answer to this question (hurry plz)
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Answer:
not proportional
Step-by-step explanation:
I need the missing termmmmm
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Answer:
6x^2
Step-by-step explanation:
The missing term is in the box that signifies the multiplication of the term 2x and the term 3x:
2x * 3x = 6x^2
Y+3= -5(x-1) write the equation in slope intercept form
Answers
Answer: The equation in slope-intercept form: [tex]y=-5x+2[/tex]
Step-by-step explanation:
The given equation of a line : [tex]y+3= -5(x-1)[/tex]
The equation of a line in slope -intercept form: y=mx+c, where m= slope , c=y-intercept.
We first use distributive property(a(b+c)=ab+ac) to simplify the given equation, we get
[tex]y+3=-5x+5[/tex]
Subtract 3 from both sides, we get
[tex]y=-5x-2[/tex]
Hence, the equation in slope-intercept form: [tex]y=-5x+2[/tex]
Find the value of Z for the triangles
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Answer:
z = 17.5
Step-by-step explanation:
segment RX is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
[tex]\frac{RS}{RT}[/tex] = [tex]\frac{SX}{TX}[/tex] , substitute values
[tex]\frac{15}{z}[/tex] = [tex]\frac{6}{7}[/tex] ( cross- multiply )
6z = 105 ( divide both sides by 6 )
z = 17.5
determine if the following triangles are similar, and if so which postulates or theorem proves they are similar
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Not similar.
Because it should be [tex]\frac{22}{11} =\frac{18}{9} \neq \frac{24}{13}[/tex]
2=2[tex]\neq[/tex]1.84
Four more than double a number is 100 what is the answer?
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Answer:
the number would be 48 i think
Step-by-step explanation:
48 + 48 = 96
96 + 4 = 100
Answer this pls thank u,
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If someone understands this please help
At a carnival, you spin a spinner that has four equal-sized sections, each a different color: green, yellow, red, and blue. If you land on green, you win 2 points. If you land on yellow, red, or blue, you lose 1 point. Write the expected value equation.
A= B= C=
D= E= F=
G=
Answers
Answer:
A= 4
B= 4
C= -1
D= 4
E= -1
F= 4
G= -1
Step-by-step explanation:
The expected value equation is the probability of something happening multiplied by the amount of times it happens. In this case you have four equal sized sections, so you have a one in four chance to land in any of these sections. A, B, D, and F represent the four for this one in four chance. C, E, and G represent the amount of points you get when you land on those sections, in this case -1
A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. Let y represent the length (in feet) of a side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence. Let F represent the length of fencing in feet. Write an equation that represents F in terms of the variable x.
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If the rectangular field has notional sides X and y then it has area
A(x) =xy { =6•10^6 sq ft }
The length of fencing required, if
x
is the letter that was arbitrarily assigned to the side to which the dividing fence runs parallel, is:l (x) = 3x +2y
It matters not that the farmer wishes to divide the area into 2 exact smaller areas.
Assuming the cost of the fencing is proportional to the length of fencing required, then
C(x)=a L (x)
To optimise cost, using the Lagrange Multiplier
λ
, with the area constraint :
So the farmer minimises the cost by fencing-off in the ratio 2:3, either-way
The relationship between variable F and x is 2x + 12000000/x
Let y represent the length (in feet) of a side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence.
Let F represent the length of fencing in feet.
Area of fencing = 6000000 ft²
Area of fencing = x * (y + y) = x * 2y
Area of fencing = 2xy
6000000=2xy
xy = 3000000
y = 3000000/x
The perimeter is:
F = x + y + y + x + y + y
F = 2x + 4y
F = 2x + 4(3000000/x)
F = 2x + 12000000/x
Therefore the relationship between variable F and x is 2x + 12000000/x
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Sam is making a blanket and needs 1/3 ball of yarn for each 1/2 inch section. How many balls of yarn will use to make 6 inches of the blanket
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Answer:
12 inches
Step-by-step explanation:
What is the value of x?
x=
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For i = V-1, what is the sum (7 + 3i) + (-8 + 9i)?
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Answer:
12v-3
Step-by-step explanation:
larry ate 5 chocolate chip cookies, which was 15% of the cookies in the cookie jar. how many cookies were in the cookie jar to begin with? percent practice test
please help!!!!!!
Answers
Answer:
32
Step-by-step explanation:
5 x .15
Scott earns $16.85 per hour at his job. He works 7 hours per day, 4 days per week. What is Scott's gross monthly income for 4 weeks? a. $471.80 b. $943.60 c. $1,415.40 d. $1,887.20 Please select the best answer from the choices provided A B C D
Answers
Answer:
the gross monthly income for 4 weeks is $1,887.20
Step-by-step explanation:
The computation of the gross monthly income for 4 weeks is shown below:
= Earning per hour × number of hours works per day × number of days works per week × number of weeks
= $16.85 × 7 × 4 × 4
= $1,887.20
Hence, the gross monthly income for 4 weeks is $1,887.20
Answer:
d
Step-by-step explanation:
Emily says she can prove the Pythagorean Theorem using the following diagram. She explains that she can divide the squares on the two shorter sides into grids with equal-sized grid squares. She says she can then rearrange the grid squares to cover the area of the square on the hypotenuse, which proves that the sum of the squares on the two shorter sides equals the square on the hypotenuse. A 3 by 3 square, a 4 by 4 square, and a 5 by 5 square, put together to form a right triangle with legs 3 and 4 and hypotenuse 5. Is this a valid geometrical proof that a2 + b2 = c2 for all right triangles? Yes, because there are 9 grid squares on one side, 16 grid squares on the other side, and 25 grid squares on the hypotenuse, and 9 + 16 = 25. Yes, because it shows that you can rearrange the squares on the shorter sides to fill up the area of the square on the larger side. No, because a proof needs to have equations in order to be valid. No, because this proof only works when you can draw grids on the squares. It does not work for all right triangles.
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Answer:
Yes, because there are 9 grid squares on one side, 16 grid squares on the other side, and 25 grid squares on the hypotenuse, and 9 + 16 = 25.
<3
find the value of given expression
[tex](55 - 54) {}^{2} [/tex]
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Answer:
(55-54)²=1²=1 is your answer
Answer:
your answer will be 1
Step-by-step explanation:
......
2) A geometric sequence begins with the term 1 and has a common ratio of
-2. What is the 6th term in this sequence?*
O 1/4
O 1/8
O 1/16
1/32
1 point plz hurry ASAP!
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A cuboid has sides of length 10cm 6cm and 7cm
Find the total surface area of the cuboid
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i do not know guy i just want those points...thanx for those lol
well but i do know this i had the exam of maths so i am explaining it to u but u needa mark this as the brainliest answer
Answer:
Total surface area of a cuboid is 376 square centimeter.
Step-by-step explanation:
Given : A cuboid of length 10 cm breadth 8 cm and height 6 cm.
To find : The total surface area of a cuboid?
Solution :
The total surface area of a cuboid is
Where, l is the length l=10 cm
b is the breadth b=8 cm
h is the height h=6 cm
Substitute the value in the formula,
Therefore, Total surface area of a cuboid is 376 square centimeter.
Assume that AABC= APQR. Which of the following congruence statements
are correct? Check all that apply.
A. BC = PO
B. ZRE LC
C. ZA= 20
D. AC = OR
E. AB = PQ
F. ZCE ZP
Answers
Answer:
check B and E
Step-by-step explanation:
All the correct congruence statements are,
⇒ ∠R = ∠C
⇒ AB = PQ
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangles ABC and PQR are congruent.
Now, By definition of congruency we get;
All the correct congruence statements are,
⇒ ∠R = ∠C
⇒ AB = PQ
Thus, All the correct congruence statements are,
⇒ ∠R = ∠C
⇒ AB = PQ
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A bookshelf is 45 inches wide. How many 1 & 1/2 inch wide books will fit on the bookshelf? *
Answers
Answer:
30 books
Step-by-step explanation:
bookshelf is 45 inches
each book is 1 1/2 inches
45 / 1 1/2 = 30
30 books can fit on the shelf
pls help 11111111111111
Answers
Answer:
g(x) = [tex]2^{x}[/tex] + 4
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the shift is 4 units up , then
g(x) = [tex]2^{x}[/tex] + 4
Answer:
the answer is B g(x)=2^x+4
Step-by-step explanation:
Pets owned by each customer or jays pet store
Answers
Answer:
3
Step-by-step explanation:
its the median, just see which one is in the middle by crossing out one dot on each side until you get to the middle
128= 4^2x times 2^x
What is x?
Answers
Answer:
x=7/5
Step-by-step explanation:
We can write it in exponential form
128= 2^2*2x * 2^x
2^4x+x=5x
2^5x=128
2^5x=2^7
5x=7
x=7/5
The value of x in the equation given is
[tex] \frac{7}{5} [/tex]
To solve :
[tex]128 = {4}^{2x} \times {2}^{x} [/tex]
Change all values to have the same root :
[tex] {2}^{7} = {2}^{2(2x)} \times {2}^{x} [/tex]
[tex] {2}^{7} = {2}^{4x} \times {2}^{x} [/tex]
[tex] {2}^{7} = {2}^{(4x + x)} [/tex]
[tex] {2}^{7} = {2}^{5x} [/tex]
The roots cancel out
[tex] 7 = 5x[/tex]
Divide both sides by 5
[tex]x = \frac{7}{5} [/tex]
Therefore, the value of
[tex]x = \frac{7}{5} [/tex]
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Maria is playing with a scale. Two red weights and a 5-ounce weight exactly balance a blue weight. And three red weights and a blue weight exactly balance a 10-ounce weight. What weight, in ounces, would balance a red
weight and two blue weights?
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Explanation:
when ronnie first planted the cherry tree in his yard, it was 30 feet tall. Now it is 90% taller. How tall is the tree now?
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-3x+4y=7 lesson 3 notes
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Ann runs 2/5 mile. Kim runs 1/2 mile. Which statement is true 2/5 >1/2,
1/2 >2/5, 1/2=2/5, 1/2 <2/5
Answers
Answer:1/2 >2/5
Step-by-step explanation:
Make the denominator the same so 1/2 = 5/10 and 2/5 = 4/10
5/10 (which is the same as 1/2) > 4/10 (which is the same as 2/5)
1/2 > 2/5
A new car is purchased for 22300 dollars. The value of the car depreciates at 10.25% per year. What will the value of the car be, to the nearest cent, after 6 years?
Answers
Answer:
$11654 approx
Step-by-step explanation:
Given data
Principal amount = 22300 dollars
Rate= 10.25%
time= 6 years
The expression for the decrease is given as
A=P(1-r)^t-----------Note the negative sign is because of the decrease
substitute
A= 22300(1-0.1025)^6
A=22300(0.8975)^6
A=22300*0.5226
A=$11653.98
Hence the new value is $11654 approx
2x - 4x³ + 5 - 3x²
1. How many terms does the given polynomial have?
2. What is the CONSTANT term?
3. What is the VARIABLE in the given polynomial?
4. What is the leading coefficient of the given polynomial?
5. Without arranging the terms, what is the numerical coefficient of the first term of the polynomial, as shown in the given?
Hopefully someone will have respond
Answers
Answer:
. How many terms does the given polynomial have? 4
2. What is the CONSTANT term? 5
3. What is the VARIABLE in the given polynomial? x
4. What is the leading coefficient of the given polynomial?-4 (highest degree polynomial)
5. Without arranging the terms, what is the numerical coefficient of the first term of the polynomial, as shown in the given? 2
Step-by-step explanation: