Answer:
You will have $623.3441462 in your account after 7 years
Step-by-step explanation:
The formula of the compounded interest is A = P [tex](1+\frac{r}{n})^{nt}[/tex] , where
A is the new valueP is the initial valuer is the rate in decimaln is the number of periodst is the time in years∵ You are opening a savings account with $500
∴ P = 500
∵ The bank offers 3.2% interest, compounded yearly
∴ r = 3.2% ⇒ divide it by 100 to change it to decimal
∴ r = 3.2 ÷ 100 = 0.032
∵ The interest is compounded yearly
∴ n = 1
∵ The time is 7 years
∴ t = 7
→ Substitute these values in the rule above to find A
∵ A = 500 [tex](1+\frac{0.032}{1})^{1(7)}[/tex]
∴ A = 500 [tex](1.032)^{7}[/tex]
∴ A = 623.3441462
∴ You will have $623.3441462 in your account after 7 years
simplify the following 7 x 7^4
Answer:
2401
Step-by-step explanation:
7 x 7 to power of 4
7 x 7 x 7 x 7
=2401
Answer:
Step-by-step explanation:
Here you go mate
Step 1
7 x 7^4 Equation
Step 2
7 x 7^4 simplify
7x7x7x7x7
step 3
7x7x7x7x7 multiply
answer
16807
Write an equivalent expression to 3x + 6 + 4x + 2 by combining like terms.
Answer:
3x + 6 + 4x + 2 = 7x+8
Step-by-step explanation:
SUPER EASY I JUST DON’T UNDERSTAND HOW TO SHOW MY WORK PLEASE HELP. It is just one problem. PLEASEEE
Complete the problem using the following steps to find the factored form of the polynomial.
1. Find all possible rational roots.
2. Use Descartes' rule of signs to determine the possible number of positive, negative, and
complex roots.
3. Use synthetic division and the quadratic formula to find all roots.
4. Write the polynomial in factored form.
Show ALL work for your steps.
f(x) = x^3 - 4x^2 - 3x + 12
Please help.
There are five sign changes, so there are five or, counting down in pairs, three or one negative solutions. Then my answer is:There are two or zero positive solutions, and five, three, or one negative solutions.In the above example, the maximum number of positive solutions (two) and the maximum number of negative solutions (five) added up to the leading degree (seven). It will always be true that the sum of the possible numbers of positive and negative solutions will be equal to the degree of the polynomial, or two less, or four less, or....This can be helpful for checking your work. For instance, if I had come up with a maximum answer of "two" for the possible positive solutions in the above example but had come up with only, say, "four" for the possible negative solutions, then I would have known that I had made a mistake somewhere, because 2 + 4 does not equal 7, or 5, or 3, or 1
There are four, two, or zero positive roots, and zero negative roots.
Descartes' Rule of Signs can be useful for helping you figure out (if you don't have a graphing calculator that can show you) where to look for the zeroes of a polynomial. For instance, suppose the Rational Roots Test gives you a long list of potential zeroes, you've found one negative zero, and the Rule of Signs says that there is at most one negative root. Then you know that you've found every possible negative root (rational or otherwise), so you should now start looking at potential positive roots.Similarly, if you've found, say, two positive solutions, and the Rule of Signs says that you should have, say, five or three or one positive solutions, then you know that, since you've found two, there is at least one more (to take you up to three), and maybe three more (to take you up to five), so you should keep looking for a positive solution.
please help this is due soonnnnnnn
Answer:
-[tex] \frac{1}{ \sqrt{3x^{2} } } [/tex]
Hope this helps give brainlist
Determine which representation corresponds to a decreasing speed with an increasing time. A 2-column table with 5 rows. The first column is labeled time with entries 0, 2, 4, 6, 8. The second column is labeled speed with entries 0, 15, 25, 45, 70. A graph shows time (seconds) labeled 1 to 8 on the horizontal axis and speed (feet per second) on the vertical axis labeled 1 to 8. A line shows the speed starting at 7 feet per second and continuing to lose speed over 5 seconds.
Answer:it c
Step-by-step explanation:
The Graph representation corresponds to a decreasing speed with an increasing time.
What is Graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
Given:
We have the table
Time Speed
0 0
2 15
4 25
6 45
8 70
So, the rate of change
= (15-0) / (2-0)
= 15/2
= 7.5
and, the rate of change
= (25-15) / (4-2)
= 10/2
= 5
and, the rate of change
= (45-25) / (6-4)
= 20/2
= 10
and, the rate of change
= (70-45) / (8-6)
= 25/2
= 12.5
As, the rate of change is increasing.
and, from the graph the slope is decreasing as time increases.
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Which function transforms the graph of y = x2
so that it is first shifted down
2 units and is then reflected across the x-axis?
Answer:
-x^2+2
Step-by-step explanation:
Got this on the test
Which relationship is a function?
Answer:
the first one
Step-by-step explanation:
remember, in a function, x can only have one y, whereas y can have more than one x
Answer:
The first one (the one with the months)
Step-by-step explanation:
A function is when an x value doesn't have more that one y value (y can have more than one x value, though). On the teachers and pets one, Ms. Valverde has two pets, so that doesn't count. On the shapes one, the orange square is pointing to another orange square and a triangle, so that doesn't count. The last one has 7 equaling to 12 and 13, so that doesn't count. The one with the months doesn't have any x values with more than one y value, so it is a function.
2*10⁴-7³= please help
Answer:
19657
Step-by-step explanation:
By PEMDAS, we know we have to calculate the exponents first, then multiply the 2, and then subtract the 7³
2*10⁴ = 20000
20000 - 7³ = 19657
PLEASE HELP (I WILL MARK YOU BRAINLIEST IF YOUR THE LUCKY ONE)
Answer:
27 is your answer hope it helps
Samir has a collection of coins. He wants to find out how many dimes he has without having to count them. According to the U.S. Mint report, a dime has a mass of approximately 2.27 grams. If the total weight of Samir's dime collection is 47.67 grams, about how many dimes are in Samir's coin collection?
Answer:
21
Step-by-step explanation:
47.67 divided by 2.27 = 21
Quante’ had 15.3 feet of fishing line. He cut off a piece and had 3.2 inches left. How long was the piece he cut off?
Answer:
180.4 inches (15.033 feet)
Step-by-step explanation:
To solve this, we convert 15.3 feet to inches. We do this by multiplying 15.3 by 12. This gets us 183.6. Now, we subtract 3.2 from 183.6. This gets us 180.4. That means the piece cut off of 180.4 inches long. To convert this to feet, we divide by 12. That gets us 15.033. That means the piece cut off is 180.4 inches long, or 15.033 feet long.
a) Expand and simplify.
9(x - 3) - 2(x-4)
Simplify
(9x-27)-(2x+8)
Answer:
7x−19 . 9(x−3)
Step-by-step explanation:
!!!!!!!!WILL MARK BRAINLIEST!!!!!!!!!!!! A school board is interested in whether high school students would like to shift the school day forward by 30 minutes. They decide to conduct a survey and randomly select students who are involved in extracurricular activities. Which statement is true? A. The survey results are most at risk for nonresponse bias. B. The survey results are most at risk for undercoverage. C. The survey results are most at risk for students not being able to answer honestly. D. The survey results are not at risk for any bias.
Based on the information given, the survey results are most at risk for undercoverage.
In this case, the right sample of the students to be collected should have been the high school students. Every student ought to have an equal chance of being picked.
Selection of those that are involved in extracurricular activities shows bias. Therefore, this will bring about an undercoverage.
In conclusion, the correct option is B.
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Please answer this find the circumference for each of them TYSMMM
Please help asap!! I will mark you as brainliest :)
Answer:
$12,75
Step-by-step explanation:
9+4+2=15
15/100=0,15
100-15=85
85*0,15=12,75
Answer :
9+4+2+15% tip= $17.25 total
but the tip is $2.25
Step-by-step explanation:
What is the measure of U? A. 66 B. Cannot be determined C. 74 D. 70
Answer: B. Cannot be determined
Step-by-step explanation:
Answer:70
Step-by-step explanation:
Solve for k in the equation 12 = 4(k - 6)
Answer:
12 = 4 (k - 6) (use the distributive property to get rid of the parentheses)
12 = 4k -24 (add 24 to both sides to isolate the k-term)
36 = 4k (divide both sides by 4 to get k all alone)
k = 9 (your answer)
Step-by-step explanation:
I hope this helped :))
If a city has a population of 500,000 and the population has been rising 3% each year, what will the population be in 13 years?
Answer:
19,500,000 hope it helps.
Step-by-step explanation:
) Which expressions are equivalent to 45? Choose ALL that apply.
4.4.4.4.4
5.5.5.5
16 - 64
4.5
20 - 20
4. 256
The expressions that are equivalent to each other will be 16 · 64, 4 · 4 · 4 · 4 · 4, and 4 · 256. Then the correct options are A, C, and F.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 4⁵
This can be mathematically expressed as,
⇒ 4⁵
⇒ 4 · 4 · 4 · 4 · 4
⇒ 16 · 64
⇒ 4 · 256
⇒ 1,024
The expressions that are equivalent to each other will be 16 · 64, 4 · 4 · 4 · 4 · 4, and 4 · 256. Then the correct options are A, C, and F.
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can somebody help me ?
Rectangle N NN has an area of 5 55 square units. James drew a scaled version of Rectangle N NN and labeled it Rectangle P PP. Rectangle P Rectangle P What scale factor did James use to go from Rectangle N NN to Rectangle P PP?
Answer:
The scaled factor is 3.
Step-by-step explanation:
Consider the figure shown below:
It is given that: A rectangle N has an area of 5 square units. James drew a scaled version of Rectangle N and labeled it Rectangle P.
We need to find the scale factor which is used by James.
First, we will calculate the area of Rectangle P by counting the number of squares shown in the figure.
Area of rectangle P = 45 square unit
Let x be the scaled factor.
To scale the rectangle we need to multiply both the length and breadth of the rectangle N by x and the scaled area should be equal to 45.
[tex][x\times \text{Length} ][x \times \text{breadth}]=45[/tex]
[tex]x^2(\text{Length} \times \text{breadth})=45[/tex]
It is given that area of the rectangle N is 5 square units, so put length time breadth as 5.
[tex]x^2(5)=45[/tex]
[tex]x^2=9[/tex]
[tex]x=3[/tex]
Hence, the scaled factor is 3.
Plot the complex number 2 + 91 on the axes below.
Answer:
d
Step-by-step explanation:
Write an equation in slope-intercept form y = mx + b of a line with a slope of 3/4
and a y-intercept of -2. *
Answer:
y=3/4x-2
Step-by-step explanation:
A persons heart rate is typically between 60 seconds and 100 beats Noah looks at his watch and counts 8 beats and 100 beats
Answer:
Where is the question? im happy to answer.
Step-by-step explanation:
some soiled goods are sold for 2 /5 of their original price. what will be the selling price of a pair of trouser originally Costing#850.00
Answer:
The selling price of the goods is #340.00
Step-by-step explanation:
Given;
original price, P = #850.00
the new cost = 2/ 5 of the original price
The selling price of the goods is calculated as follows;
[tex]= \frac{2}{5} \ \times \#850\\\\ = \# 340[/tex]
Therefore, the selling price of the goods is #340.00
A car travels at a rate of 65 miles per hour. At this rate, how long would it take to travel 1,300 miles?
Answer:
20 hours
Step-by-step explanation:
Not sure if this is correct, sorry if it isnt. I did 1,300/65. we already have the unit rate which is 65 so all we have to do is divide it by how many miles we want to trabel and then boom, we get how long it'll take in hours.
Jalan is going to the moon. To get there, he has to travel at a 70 degree angle of elevation. If the moon is straight above the earth. It would be 200,000 miles away (in other words, the vertical distance to the moon from the earth is 200,000 miles). Find the distance Jalan travels to get to the moon.
Answer: 212,836
Step-by-step explanation:
HELP I HAVE 3 MINUTES!!
Answer:
3.92$
Step-by-step explanation:
Answer:
the tax is 3.92
Step-by-step explanation:
the total is: 94.08
4.
(8x + 40)°
Solve this please
Answer:
it is an equalateral triangle on a line. equalateral triangle all angles are the same. 180 degrees in a triangle so the angle in the triangle must be 60 degrees.
180 degrees on a straight line so 60 pus 40 = 100 which means 8x is 80
80 + 40 = 120 degrees
Find the value of x. please show step by step process.
Answer:
x=44
Step-by-step explanation:
alright to make this easy we have to find out all of the angles values. If you see those little lines, then they are indicating that the opposite angles are similar. so angles b and d are equal to 34. in order for a triangle to be true all of the angles added up have to equal 180 so to find the last angle we do 180 -34 -34 which equals 112. That is the angle of c on the bottom triangle. The angle next to is is suplementary meaning that those two angles added together will equal 180. If one angle is 112 we just subtract 112 from 180 to get the other angle which is 68. Once again we have the two little lines indicating that the two angles are the same. Again we do 180 - 68 - 68 which is 44. Therefore x =44