we know that
The simple interest formula is equal to
[tex]I=P(rt)[/tex]
where
I is the amount in interest
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
[tex]t=?\ years\\ P=\$1,300\\ I=\$299\\r=0.0575[/tex]
substitute in the formula above and solve for t
[tex]299=1,300(0.0575)(t)[/tex]
[tex]t=299/[1,300(0.0575)][/tex]
[tex]t=4\ years[/tex]
therefore
the answer is
[tex]4\ years[/tex]
Bonita's money was in the account for approximately 5 years.
Step 1: Define Variables and Formula
Let:
P represent the principal amount deposited (initial amount - $1300).r represent the annual interest rate (5.75% - we can convert this into a decimal by dividing by 100: 0.0575).t represent the number of years the money was in the account (unknown).I represent the total interest earned ($299).The formula for simple interest is:
I = P × r × t
Step 2: Apply the Formula to Known Values
We are given the values for I, r, and P (we can solve for P using the given information). Let's plug these values into the formula:
$299 = P × 0.0575 × t
Step 3: Solve for the Unknown (t - Number of Years)
To isolate t (the number of years), we can divide both sides by the product of P and r. However, we don't have the value of P yet.P needs to be the initial principal amount before any interest is earned. Since the question states Bonita deposited $1300, and we're calculating the interest earned, P represents the principal amount before interest.Step 4: Find the Principal Amount (P)
The total amount Bonita received when closing the account is the principal amount (P) plus the interest earned (I). We can represent this as:
P + I = $1300 (deposit amount) + $299 (interest)P = $1300 + $299P = $1599 (This is the principal amount before interest)Step 5: Solve for the Number of Years (t)
Now that we know P, we can plug it back into the equation along with the interest rate (r) to solve for t:
$299 = $1599 × 0.0575 × tt ≈ 5.49 (We haven't rounded yet)Step 6: Round the Answer (Nearest Whole Year)
The question asks for the number of years rounded to the nearest whole year. Since the decimal part (0.49) is closer to 0 than 1, we round down.
Jill collects stamps. her stamp book has space for 64 stamps she needs 18 more stamps to fill the book how many stamps does Jill have now
Final answer:
Using subtraction, we determined that Jill currently has 46 stamps in her stamp book by subtracting the 18 stamps she needs to fill it from the total stamp book capacity of 64.
Explanation:
Jill's stamp collection problem is a simple subtraction problem in mathematics. To find out how many stamps Jill currently has, we subtract the number of stamps she needs to fill the book from the total capacity of the stamp book. If the stamp book has space for 64 stamps and she needs 18 more stamps to fill the book, we can calculate the number of stamps she currently has by doing the following calculation:
Total stamps space - Stamps needed = Stamps Jill has
64 - 18 = 46 stamps
Therefore, Jill currently has 46 stamps.
PLEASE HELP!!!! I DONT UNDERSTAND THIS.
The table and the graph below each show a different relationship between the same two variables, x and y:
A table with two columns and 5 rows is shown. The column head for the left column is x, and the column head for the right column is y. The row entries in the table are 4 comma 80 and 5 comma 100 and 6 comma 120 and 7 comma 140. On the right of this table is a graph. The x-axis values are from 0 to 10 in increments of 2 for each grid line. The y-axis values on the graph are from 0 to 350 in increments of 70 for each grid line. A line passing through the ordered pairs 2 comma 70 and 4 comma 140 and 6 comma 210 and 8 comma 280 is drawn.
How much more would the value of y be on the graph than its value in the table when x = 12?
20
90
150
180
Gee prepared 12 kilograms of dough after working 3 hours. How much dough did mr.g prepare if he worked for 20 hours? Solve using units rates
How do you answer
#5.
need help 4 1/5,-0.22,-1.4,1.4
The given numbers include both decimal and fraction values, specifically -0.22, -1.4, 1.4, and 1/5 (equivalent to 0.2).
Explanation:The given numbers are 1/5, -0.22, -1.4, and 1.4. These numbers represent a set of decimal and fraction values.
Decimal Numbers: -0.22, -1.4, and 1.4
Fraction Number: 1/5 (which is equivalent to 0.2)
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X-42=-33 what is the solution ?
The graph represents Jason's speed on a recent trip. For which time period is his rate of change negative?
A) between 0 and 5 minutes
B) between 5 and 10 minutes
C) between 10 and 20 minutes
D) between 20 and 25 minutes
Thankyou soooo much!!
an animal shelter currently only has 30 dogs and 20 cats what is the ratio of cats to animals
On Saturday afternoon, 350 people attended a play. The seating was arranged in 7 equal rows. How many people sat in each row? Draw a bar diagram. Write and solve an equation.
The scale on Krystal's map is 1 inch = 18 miles. How far apart are Greenville from north valley?
According to Krystal's map scale, the distance between Greenville and North Valley is 72 miles.
To find the distance between Greenville and North Valley using Krystal's map scale of 1 inch = 18 miles, you need to determine the distance represented by the two locations on the map and then convert it to real-world miles.
First, measure the distance between Greenville and North Valley on the map. Let's say it's 4 inches.
Now, multiply the measured distance on the map by the scale factor:
4 inches * 18 miles/inch = 72 miles.
Thus, according to Krystal's map scale, the distance between Greenville and North Valley is 72 miles.
This means that in reality, Greenville and North Valley are 72 miles apart.
This calculation is based on the given scale and assumes that the map accurately represents the geographical locations of Greenville and North Valley.
Always consider real-world conditions and factors like road layouts when planning actual travel.
The length of a rectangular room is 7 less than three times the width,w, of the room. Write a simplified expression to represent the perimeter and a simplified expression to represent the area of the room.
Mia has n pairs of earrings. She receives 3 more pairs of earrings. Which expression represents the number of earrings Mia has now? A. n−3 B. 3n C. 3n+3 D. n+3
Answer:
x= -3e
Step-by-step explanation:
Factor -1/4 out of -1/2x - 5/4y
Out of means you divide
A store sells a certain brand of jeans for $38. One day the store sold 6 pairs of jeans of that brand. How much money did the store make from selling the 6 pairs of jeans? Help me please on this one and kind explain what i'm supposed to do. Thanks!
Which functions are increasing?
Select all answers that are correct.
The first graph and the third graph are both increasing, those are your correct answers.
PLEASE HURRY!!!!!! Annette wanted to buy new carpet for her L-shaped room. Which expressions could be used to calculate the area of her room? choose EXACTLY TWO answers that are correct.
A. (17 • 20) – (14 • 10)
B. (17• 6) + (14 • 10)
C. (17 • 6) + (20 • 10)
D. (17 • 20) – (7 • 14)
What is 10 1/2 as a improper fraction
The mixed fraction [tex]10 \dfrac{1}{2}[/tex] can be represented in the form of improper fraction as 21/2.
Given mixed fraction:[tex]10 \dfrac{1}{2}[/tex]
Now, to convert the mixed number 10 1/2 to an improper fraction, to multiply the whole number part (10) by the denominator of the fraction (2) and then add the numerator (1).
So, the numerator is
= (2 x 10+ 1)
= 20 +1
= 21
and, the denominator remains the same.
So, 10 1/2 as an improper fraction is 21/2.
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Quincy is using 320 pieces of stone tile to make red white and blue mosaic. If 20% of the pieces are blue and 35% are white how many pieces are red?
To determine the number of red tiles in Quincy's mosaic project, the percentage of blue and white tiles were converted to actual numbers and subtracted from the total. This calculation revealed that there are 144 red tiles.
Explanation:Quincy is using 320 pieces of stone tile to make a mosaic.
It is given that 20% of the pieces are blue, and 35% are white. To find out how many tiles are red, we start by calculating the number of blue and white tiles:
Blue tiles: 20% of 320 = (20/100) * 320 = 64 tilesWhite tiles: 35% of 320 = (35/100) * 320 = 112 tilesAdding the blue and white tiles together gives us 64 + 112 = 176 tiles.
Since the total number of tiles is 320, the number of red tiles will be the remaining tiles after subtracting the blue and white tiles:
Red tiles = Total tiles - (Blue tiles + White tiles) = 320 - 176 = 144 red tiles.
Therefore, 144 pieces of stone tile are red in Quincy's mosaic project.
Can someone please help me with question #3 plzz
Does it matter what two factors you select to complete a factor tree? And tell me how you knew
what is a equation has a solution of 7
A parachutist's rate during a free fall reaches 135 miles per hour. What is this rate in feet per second? At this rate, how many feet will the parachutist fall during 2 seconds of free fall? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers. THANK YOU!!!
Answer:
Parachutist will fall 396 feet in 2 seconds.
Step-by-step explanation:
A parachutist's rate during a free fall reaches 135 miles per hour.
We have to calculate this rate in feet per second.
Rate = 135 [tex]\frac{miles}{hour}[/tex]
= 135×[tex]\frac{5280}{60\times 60}=135\times \frac{5280}{3600}[/tex] feet per second
= 135×1.467 feet per second
= 198 feet per second
Now we have to calculate the fall of the parachutist during 2 seconds.
Fall = 198×2 = 396 feet
How to express 24.357 in unit form
Find the circumference of the circle. Use 3.14 or 22/7 for π (pi). Round to the nearest hundredth, if necessary.
The circumference of the circle is 351.68 cm.
Circumference:The circumference of a circle is the perimeter of the circle. The formula for the circumference of a circle can be represented as follows;
c = 2πrwhere
r = radius
Therefore,
c = 2πr
r = 56 cm
c = 2 × 3.14 × 56
c = 351.68 cm
Therefore, the circumference of the circle is 351.68 cm.
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64 video game ; 25% discount
Help Fast!!!WILL GIVE BRAINLIEST
1 It takes Pam 45 minutes to drive to work and 60 minutes to drive home from work. Write the ratio of
the time Pam spends driving home from work to the time she spends driving to work in three different
ways
Where is the point (-1,5) located on the coordinate plane?
What numbers have an absolute value of 9
The numbers that have an absolute value of 9 are 9 and -9.
In general, the absolute value of a positive number x is |x| = x, and the absolute value of a negative number -x is |x| = -(-x) = x.
So, for any number x or -x where x ≠ 0, its absolute value is always positive and equal to the positive value of "x."
The absolute value of a number is the distance of that number from zero on the number line.
Since both 9 and -9 are 9 units away from zero, their absolute values are both 9.
Hence, the numbers are 9 and -9.
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Ramon needs 12 oranges to make 3 glasses of juice. What is the unit rate? Explain what it means in this situation.
using your knowledge of the causes and effects of global climate change (i.e. global warming), express two ways we ca help reduce the rate of this global warming trend.