At the end of 5 years, with the 3.1% interest rate, your savings account will grow to $349.47.
Use the concept of percentage defined as:
A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means.
Given that,
A new savings account is opened with $300.
The account earns a 3.1% interest rate per year.
The interest is calculated yearly.
The duration of the investment is 5 years.
After the first year,
Savings will increase by 3.1% of $300, which is $9.30.
So, your balance at the end of the first year will be $309.30.
For the following years,
you will continue to earn 3.1% interest on the new balance each year. Here's a breakdown of your balance at the end of each year:
Year 1: $309.30
Year 2: $309.30 + 3.1% of 309.30 = $318.88
Similarly
Year 3: $328.77
Year 4: $338.96
Year 5: $349.47
Hence,
At the end of 5 years, with the 3.1% interest rate, your savings account will grow to $349.47.
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ5
Determine whether the infinite geometric series is convergent or divergent. If it is convergent, find its sum. (If the series is divergent, enter DIVERGENT.)
(1)-(1/6)+(1/36)-(1/216)+... ...?
3 times the sum of 1/3 of a number and 8 is 11
Find The Distance Between (6,1) and (-2,-4)
Choose the correct simplification of the expression (5xy5)2(y3)4.
Answer:
[tex]25x^{2}y^{22}[/tex] is the answer.
Step-by-step explanation:
The given expression is [tex](5xy^{5})^{2}(y^{3})^{4}[/tex].
Now we have to simplify the expression given in the question.
[tex](5xy^{5})^{2}(y^{3})^{4}=(5)^{2}(x)^{2}(y^{5})^{2}(y^{3})^{4}=25x^{2}y^{10}y^{12}=25x^{2}y^{10+12}=25x^{2}y^{22}[/tex]
Therefore the simplified form of the expression will be [tex]25x^{2}y^{22}[/tex]
Find the secant of both angle A and angle B.
A. sec A = 13/5; sec B = 13/12
B. sec A = 13/12; sec B = 13/5
C. sec A = 12/13; sec B = 5/13
D. sec A = 24/10; sec B = 10/24
The secant of angle A is 13/5 and the secant of angle B is 13/12. Option A is correct.
Explanation:To find the secant of angle A and angle B, we need to use the reciprocal function of cosine which is secant. The secant of an angle is equal to the reciprocal of the cosine of that angle.
So, if sec A = 13/5, it means that the cosine of angle A is equal to 5/13. Similarly, if sec B = 13/12, it means that the cosine of angle B is equal to 12/13.
A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of the new rectangular prism is 450 cubic inches. The equation 2x3 + 8x2 = 450 can be used to find x. What was the side length of the original cube? Use a graphing calculator and a system of equations to find the answer.
4 inches
5 inches
9 inches
10 inches
The length of the side of the original cube in the given scenario is 5 inches.
A cube is a three-dimensional figure with equal sides.
Given that
The length of the edge of a cube = x
Also, one of the sides is increased by 4 inches, and another side is doubled,
so, now the new dimensions are x, x+4, 2x, and the shape is a rectangular prism.
The area of the rectangular prism = 450 sq. inches
base × height × length = 450 sq. inches
x × (x + 4) × 2x = 450
2x³ + 8x² = 450
2x³ + 8x² - 450 = 0
x³ + 4x² - 225 = 0
Substitute x=5 to see that it is a root of the equation,
5³ + 4(5)² - 225 = 125 + 100 - 225 = 0
So, x - 5 is a factor of the equation,
Now,
x³ + 4x² - 225 = (x−5)(x² + 9x + 45) = 0
The roots of the quadratic equation are imaginary as
D = 9² - 4 × 1 × 45 = 81 - 180 = -99
The discriminant is negative, therefore, the roots are not real.
So, the length of the side of the original cube is 5 inches.
Learn more about Cubes here:
https://brainly.com/question/29420559
#SPJ4
a radius is a segment that connects any point on the circle to any point inside of that circle
true or false?
Answer:
If the question is to the center of that circle instead of "any point inside of that circle" then the answer is true.
Step-by-step explanation:
I got it wrong because I didn't read it all but it is true if it is to any point inside of that circle.
3x-1 divided by 2=10 Determine the solution
What is the value of x in 5(2x - 7)=15x-10?
3.1 Pull out like factors :
-5x - 25 = -5 • (x + 5)
4.1 Solve : -5 = 0
This equation has no solution.
A a non-zero constant never equals zero.
4.2 Solve : x+5 = 0
Subtract 5 from both sides of the equation :
x = -5
The value of x in 5(2x - 7)=15x-10 is 5
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here, the Algebraic expressions with variable in x is given :
5(2x - 7)=15x-10
which is solved using properties of multiplication and solving for value x by arranging variables and constant separately aside:
5(2x - 7)=15x-10
20x - 35 = 15x -10
20x -15x = 35-10
5x = 25
x= 5
Therefore, the value of x in 5(2x - 7)=15x-10 is 5
more on algebraic expression at :
brainly.com/question/20660076
#SPJ2
Suppose that a "code" consists of 4 digits, none of which are repeated. (a digit is one of the 10 numbers 0,1,2,3,4,5,6,7,8,9) how many codes are possible?
For you to see in a mirror, light must be
refracted
reflected
concaved
conducted
two numbers that multiply to 120 and add to 29
Janet’s car insurance payment decreases by $30 each year. which expressions represent the total change in her payment, in dollars, after 44 years?
The total change in Janet's car insurance payment after 44 years is $1320.
Explanation:To find the total change in Janet's car insurance payment after 44 years, we can use the formula:
Total change = decrease per year × number of years
In this case, the decrease per year is $30 and the number of years is 44. So the expression representing the total change in her payment would be:
Total change = $30 × 44 = $1320
Therefore, Janet's car insurance payment will decrease by $1320 after 44 years.
round 2.36 to 1 significant figure
Rounding 2.36 to 1 significant figure results in 2, as the first non-zero digit remains unchanged when the subsequent digit is less than 5.
Explanation:To round 2.36 to 1 significant figure, you look at the first non-zero digit, which is 2. Since the digit following it (3) is less than 5, the number 2 remains unchanged, and any digits after the 3 are dropped. Therefore, the number 2.36 rounded to 1 significant figure is simply 2.
To round 2.36 to 1 significant figure, we look at the digit after the first significant figure. If this digit is less than 5, we round down. If it is 5 or greater, we round up. In this case, the digit after the first significant figure is 6, which is greater than 5, so we round up. The rounded number to 1 significant figure is 2.4.
the price of an item has been reduced by 65% . the original price was $41 .
A conical paper cup has dimensions as shown in the diagram. How much water can the cup hold when full?
94.2 cm divided by pi which is 3.14 equals to 30 evenly hoped this helped yall out
The volume of the conical cup is approximately 94.25 cm³. This is the amount of water it can hold when full.
To find the volume of the conical paper cup, we'll use the formula for the volume of a cone:
[tex]\[ V = \frac{1}{3} \times \pi \times r^2 \times h \][/tex]
Where:
- ( V ) is the volume of the cone
- ( pi ) is a constant (approximately 3.14159)
- ( r ) is the radius of the circular base of the cone
- ( h ) is the height of the cone
Given:
- ( r = 3 ) cm (half the diameter)
- ( h = 10 ) cm
Substituting the given values into the formula:
[tex]\[ V = \frac{1}{3} \times \pi \times (3^2) \times 10 \][/tex]
[tex]\[ V = \frac{1}{3} \times \pi \times 9 \times 10 \][/tex]
[tex]\[ V = \frac{1}{3} \times 90\pi \][/tex]
[tex]\[ V = 30\pi \][/tex]
Now, let's calculate the approximate value of [tex]\( \pi \)[/tex] which is 3.14159:
[tex]\[ V \approx 30 \times 3.14159 \][/tex]
V≈94.2477
So, the volume of the conical paper cup is approximately [tex]\( 94.2477 \, \text{cm}^3 \) or \( 94.25 \, \text{cm}^3 \)[/tex] rounded to two decimal places. This is the amount of water the cup can hold when full.
{(3,2), (-6,2), (7,3), (8,4)}
What is the range of this function?
A) {2, 3, 4}
B) {7, 3, 8, 4}
C) {3, -6, 7, 8}
D) {3, 2, -6, 2}
The length of a rectangle is 6 yards longer than its width. If the perimeter of the rectangle is 32 yd, find its area in square yards.
First, find the width by using the perimeter formula for a rectangle, solve the equation, and then calculate the length by adding 6 yards. With both widths, calculate the area. The rectangle's area is 55 square yards.
Explanation:To solve for the area of the rectangle, we must find its length and width first. The given condition is that the length is 6 yards longer than the width. If we denote the width as w yards, then the length would be w + 6 yards.
Since the perimeter is the sum of all sides, for a rectangle, it can be calculated by the formula P = 2l + 2w, where P is the perimeter, l is the length and w is the width. Substituting the given perimeter (32 yd) and the expressions for length and width, we have:
32 yd = 2(w + 6 yd) + 2w32 yd = 2w + 12 yd + 2w32 yd = 4w + 12 yd32 yd - 12 yd = 4w20 yd = 4ww = 5 yd (width)l = w + 6 yd = 5 yd + 6 yd = 11 yd (length)Now that we have both dimensions, the area of the rectangle can be calculated using the formula A = l × w. Substituting the found values:
Area = 11 yd × 5 yd = 55 yd²
Therefore, the area of the rectangle is 55 square yards.
0.63 =1.00 0.634 plus what equals a dollar
What is 50/100 in its simplest form as a fraction?
Answer: 1/2
Step-by-step explanation: 1/2 bc 50 and 50 is like 1/2 and 1/2
Hope this helped ya! :}
Edit: js realized this was 7 years ago-
If 7 is added to the square of a postitive integer, the result is 43. Find the positive integer.
How to graph x>4 on the number line
the expression 13x+5 represents the number of marbles you have after purchasing 13 bags of marbles. a. what does the term 13x represent b. what does 5 represent c. what does x represent
WILL UPVOTE PLEASE HELP
Question 4:
Ellen wants to purchase a book that is regularly priced at $18. The book is discounted 15%. She also needs to pay a 6% sales tax on the discounted price.
What is the total amount Ellen will pay for the book?
Enter your answer in the box.
pens cost 20p each and pencils cost 12p each
if I want to buy 6 pens and 5 pencils
what will be the total ?
i don't know the answer can you help me
help plz asap the question in the picture
When the nth root of a is written, it is the positive value that is shown
In the Numbers Game, a state lottery, four numbers are drawn with replacement from an urn containing balls numbered 0-9, inclusive. Find the probability that a ticket holder has the indicated winning ticket. (Put your answer to three decimal places.)
Three digits in exact order.
for questions 1-2, find the x- and y-intercept of the line.
1. -10x+5y+40
a) x-intercept is 5; y- intercept is -10
b) x-intercept is 8; y-intercept is -4
c) x-intercept is -10; y-intercept is 5
d) x-intercept is -4; y-intercept is 8
2. 5x+4y=80
a) x-intercept is 4; y-intercept is 5
b) x-intercept is 20; y-intercept is 16
c) x-intercept is 5; y-intercept is 4
d) x-intercept is 16; y-intercept is 20
I feel like I am asking so my questions but I dont really care its a Sunday xD
Solve:
-2x - 1 + 3x =7
Answer: x = 8
−2x − 1 + 3x =7
−2x + −1 + 3x =7
(−2x+3x) + (−1) =7 (Combine Like Terms)
x+ −1 =7
x−1=7
Step 2: Add 1 to both sides.
x−1+1=7+1
x=8