Ali invests $4,078 in a retirement account with a fixed annual interest rate of 7% compounded
continuously. What will the account balance be after 14 years? (round your answer to the nearest
dollar, and do NOT put a $ in your answer.
Answer:
The account balance will be $10,866 after 14 years
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
[tex]A=Pe^{rt}[/tex]
A = the future value of the investment, including interestP = the principal investment amount (the initial amount)r = the interest rate t = the time the money is invested forLet us use this rule to solve the question
∵ Ali invests $4,078 in a retirement account
∴ P = 4,078
∵ The account with a fixed annual interest rate of 7% compounded
continuously
∴ r = 7% = [tex]\frac{7}{100}[/tex] = 0.07
∵ The time is 14 years
∴ t = 14
Substitute these values in the rule above to find A
∵ [tex]A=4,078(e)^{0.07(14)}[/tex]
→ Use the calculator to find the value of A
∴ A = 10,865.65255
→ Round it to the nearest dollar
∴ A = $10,866
∴ The account balance will be $10,866 after 14 years
The ratio of 6th graders to 7th graders in a class of 35 students is 3:4. How many more 7th graders than 6th graders are in the class?
Pls help!
Answer:
5 7th Graders
Step-by-step explanation:
Multiply 5 to 3 and 4 and add them up and you get 35. Then subtract 20-15=5 7th Graders
At ice skating lessons Sarah attempts to do a 360 degree spin, but only manages a quarter-turn on her first attempt
How many degrees short of her goal was Sarah's first attempt?
degrees
Answer:
Im sorry if this is wrong.
a quarter is 1/4. 1/4 is .25 so 360-25=335. so she only did 335 degree spin and was 25 degrees short
Step-by-step explanation:
The degree of spin Sarah wants to = 360 degrees
Hence, 1 turn = 360 degrees
Sarah does a quarter turn
A quarter is equivalent to : [tex]\frac{1}{4}[/tex]
So, [tex]\frac{1}{4}[/tex] turn = [tex]\frac{1}{4}[/tex] x 360 degrees
= 90 degrees.
The number of degrees short of her goal that Sarah was of her first attempt is calculated as :
360 degrees - 90 degrees
= 270 degrees.
Therefore, Sarah was 270 degrees short of her goal at her first attempt.
To learn more, visit the link below:
brainly.com/question/19695338
Susan rides her bicycle 5 miles in 1/4 of an hour. At this rate, how many miles could she ride in 2 hours?
Answer:40 miles
Step-by-step explanation:
5*4=20
20*2=40
Answer:
40 miles
Step by Step Explanation:
Each 1/4 of an hour is 15 minutes. 2 hours is 120 minutes, so you divide 120 by 15, which gives you 8. You multiply 8 times the 5 miles , and you get 40 miles. :)
2. Jonas measured ZDCG to be 56° and ZDCF to be 124. He wants to verify that DCF is
124° using the Angle Addition Postulate.
O
124° + 180°
D
124-56°
180°-56°
7
180° +56°
CLEAR ALL
Which is the correct calculation Jonas must use?
Answer:
The correct calculation is 180 - 56
Step-by-step explanation:
From the question, we have DCG and DCF
looking at the diagram, we can see that both lie on a straight line and are a linear pair
So the addition of both will give 180
But DCG is 56
So;
DCF + 56 = 180
So;
DCF = 180 - 56
6>>>>>>>(3 3 )
4>>>>>>>( 1 2 )
3>>>>>>>( 1 4 )
5>>>>≥>>( 2 9 )
1>>>>>>>( ? )
7>>>>>>>( 5 4 )
Who will solve the above puzzle ?
a worker uses 450 inches of steel wire to make 300 springs of the same size. at this rate how many inches of steel wire are needed to make 1 spring?
Answer:
D
Step-by-step explanation:
You divide the 450 inches of steel by the 300 springs to get 1.5 or 1 1/2
a trick to have a better idea is that if the number that is being divided is larger than the number you are dividing by, the answer will always be greater than one.
Solve for x. -2(x+1/3) +9=4
Answer:
X= 13/6
and in decimal form: x=2.16repeated
How many degrees are in one interior angle of a regular octagon?
Answer:
135
Step-by-step explanation:
this is the formula:
to find the sum of the interor angles of any polygon
180(n-2)
n= the number of sides a polygon has
you can find each indivual angle value or measure by dividing that sum you get by n
Answer:
135 degrees :)
Step-by-step explanation:
If f(x) = 2x2 + 5x - 8 and f(x) = -10,
which of the following could be a
value for x?
-2
Answer:
x = -2 or x = -1/2
Step-by-step explanation:
We can just set up an equation where the quadratic is equal to -10, and then solve the equation:
[tex]2x^2+5x-8=-10\\2x^2+5x+2=0\\\\[/tex]
Now, factor:
[tex](2x+1)(x+2) = 0\\x=-2 \text{ or } x=-1/2[/tex]
2. The sum of the measures of the exterior angles of a triangle equals: 60 180 270 360
Answer:
360
Step-by-step explanation:
the intirior angles equals 180 so ttthe outside have to equal 360
Population density is the number of people per unit of area. The population density of a certain region
is 60 people per square kilometer. If the region covers 23 square kilometers, what is the population of the region
Answer: 1380
Step-by-step explanation:
We have been given that population density is the number of people per unit of area.
Therefore, the population of the region would be 1380 people.
This would really help if you answered. I'll set it to a pretty decent amount of points
Answer: Not always the same
Step-by-step explanation:because as its shown every amountof tuna is not the same.
Answer: the price is not always the same/9 pounds
Step-by-step explanation: the price goes up by 10 then by 8 next it will be 6
How do you solve 26 = 18v Equation
Answer:
v = 1.444
Step-by-step explanation:
v = 26/18
v = 1.444
Answer:
26 = 18v
=> 26 / 18 = v (By the law of transposition)
=> 13/9 = v
=> 1.44444 repeating = v (After solving)
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Suppose y varies inversely with x, and y = 39 when x = 13. What is the value of y when x = 26 ?
9514 1404 393
Answer:
y = 39/2 = 19.5
Step-by-step explanation:
When x is multiplied by 2 from 13 to 26, y will be multiplied by the inverse of that:
y = (1/2)(39) = 39/2 = 19.5
common factor the GCF of 27y^2 and 36^3
Quadratic curve fitting
The table shows the monthly sales (thousands) for a new hair salon since its grand opening in March
Month. 0, 1, 2, 3,. 4,. 5
Sales 5.6, 5.8, 6.2, 6.9, 7.9,. 9.0.
1) Find the best fitting quadratic model.
2) What is the prediction for total sales in September?
Algebra 1 Notes A.11 Quadratic Regression Mrs. Grieser
Name: ________________________________________ Date: ______________ Block: _________
Linear Regression Review
Suppose we have the following points:
1) Draw a scatter plot of the data:
2) What is the line of best fit?
Use the calculator:
Turn on diagnostics (Catalogue: DiagnosticsOn) to view correlation coefficient. The
closer |r| = 1, the better the data fit
<STAT PLOT> Turn plot 1 on, and choose scatter plot, L1, L2
Enter x values in L1
Enter y values in L2
<STAT><CALC><4:LinReg>L1, L2, <VARS><Y-VARS><1:Function><1:Y1> <enter>
Y = ax + b = equation of line of best fit. Equation: ________________________________
Press <ZOOM>< 9:ZoomStat>
Questions: What would we expect the y-value to be for x value 59? 64? 67?
Use the equation or TABLE feature of the calculator to find out…
x = 59, y = ____________, x = 64, y = ___________, x = 67, y = ________
What would we expect the x-value to be for a y value of 2? _________
The line of best fit allows us to make predictions for data that is almost linear.
What if data is not linear but is more like another curve?
Algebra 1 Notes A.11 Quadratic Regression Mrs. Grieser Page 2
Quadratic Curve of Best Fit (Quadratic Regression)
Plot the data (same as linear regression)
Use calculator QUADREG function to find curve equation and predict values.
Calculator regression functions: <STAT><CALC>…
o 5: QuadReg: quadratic regression – finds a quadratic of best fit (y=ax2+bx+c)
Example 1:
The table shows the monthly sales (thousands) for a new hair salon since its grand opening
in March.
Month 0 1 2 3 4 5
Sales 5.6 5.8 6.2 6.9 7.9 9.0
1) Find the best fitting quadratic model. ________________________________
2) What is the prediction for total sales in September? ___________________
3) How do you know that the better model to use a quadratic fit rather than a linear fit?
Example 2:
Mrs. Grieser's class did an experiment by rolling a marble down different length slanted
boards and timing how long it took. The results are shown below:
sec. 0 4.5 11 13.4 10 8.9 14.1 9.5 12.6
cm. 0 10 60 90 50 40 100 45 80
1) Plot the data:
2) What is the quadratic curve of best fit?
3) Based on the graph, how long would it take for the
marble to roll 15 cm?
4) Approximately how far will the marble travel in 3
seconds?
5) How do we know that a quadratic model is better than a linear model for this example?
which equation shows the point-slope tor of the line that passes through (3, 2) and has a slope of 1/3
Y+ 2 = 1/3 (x + 3)
y -2 = 1/3 (x-3)
y+3 = 1/3 (x+3)
y - 3 = 1/3 (x - 2)
Answer:
y - 2 = [tex]\frac{1}{3}[/tex] (x - 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = [tex]\frac{1}{3}[/tex] and (a, b) = (3, 2) , thus
y - 2 = [tex]\frac{1}{3}[/tex](x - 3)
Given : A line passes through a point ( 3 , -2 ) and the slope of the line is ⅓ .
To Find : The equation of that line .
Solution : Here we are provided with a point ( 3 , -2 ) and slope of the line which is ⅓ . So clearly here to represent the line we will use point - slope form , which is ;
[tex]\large\underline{\boxed{\red{\bf y - b = m ( x - a ) }}}[/tex]
Where ,
a is x - coordinate.b is y - coordinate .m is the slope of the line .Here ,
a = 3 b = -2m = ⅓ .Now , put the respective values ;
[tex]\boxed{\purple{\sf y - 2 = \dfrac{1}{3}(x-3)}}[/tex]
help...
I will give brainiest and 5 stars to correct answer.
Answer:
y < -11/20
Step-by-step explanation:
4y+8 < -16y -3
Add 16y to each side
4y+16y+8 < -16y+16y -3
20y +8< -3
Subtract 8 from each side
20y+8-8 < -3-8
20y < -11
Divide each side by 20
20y/20 < -11/20
y < -11/20
Answer:
B
Step-by-step explanation:\
The answer must be a negative to transform the answer in parenthesis to a positive (negative times negative = positive) and for B anything less than -11/20 works such as -1, or -4
Given y = -7x + 7, the y-intercept is
Answer:
The y-intercept is 7
Step-by-step explanation:
y = slope(x) + y-intercept
What is the value of 9.6 dived by 1.2
Answer:
8
Step-by-step explanation:
1.2 * 8 = 9.6
Find the product
(7+2u) (7-2u)
Options:
a) 49+4u
b) 49-4u(square root sign)
c) 4u(square root sign) - 49
Answer:
b
Step-by-step explanation:
if you mean squared and not square root, then it would be b because if you factor it back out, you will get the original expression back because of the subtraction of perfect squares.
Answer:
b) [tex]\boxed{\bold{(7+2u)(7-2u)=49-4u^2}}[/tex]Step-by-step explanation:
[tex](7+2u) (7-2u)=(7)(7)+(7)(-2u)+(2u)(7)+(2u)(-2u)=\\\\=49-14u+14u-4u^2=\ \underline{49-4u^2}[/tex]
what do reflections have that dilation do not
Answer:
A reflection is the same just on the opposite side a dilation enlarges or enhances it along with flipping it thats what makes them different please give me brainliest.
10 is 6% of what
number?
Answer:
60
Step-by-step explanation:
10 × 6 is 60. if it asks the % of a number, you multiply the number by %
Answer:
60
Step-by-step explanation:
hope this helps
6
13 Which statement about ş multiplied by 4 must be true?
The product is between 6 and 7.
B
6
The product is less than
7.
6
The product is between 5 and 4.
The product is greater than 4.
choose the equation that represents the graph below A. y = -2x - 4 B. y equals 2x + 4 C. y equals -2 + 4 D. y = 2x - 4
Explain, using complete sentences, how a Venn Diagram could be used as a prewriting strategy to compare and contrast stocks and bonds.
A Venn diagram is helpful because it allows who ever using it easily compare and contrast and find what they have in common easily.
12. Carlos charges c dollars per hour for landscaping services. If he increases
his rate by 25%, which expression represents his new rate, in dollars per hour?
A. C +0.25
B. c + 25
C. C +0.25c
D. C + 25c
Lewis and his sister both open savings accounts. Each begin with a balance of zero dollars. For every 4 dollars that Lewis saves in his account, his sister saves 9 dollars. If Lewis has 64 dollars in his account, how much money does his sister have?
Answer:
144 dollars
Step-by-step explanation:
We are told that:
Lewis and his sister both begin with a balance of zero dollars.
Now, for every 4 dollars that Lewis saves in his account, his sister saves 9 dollar.
Now, if Lewis has 64 dollars in his account, it means he saved 4 dollars for 64/4 times or 16 times.
Therefore his sister saved 9 dollars for 16 times too.
Thus, his sister saved: 16 × 9 = 144 dollars
The tax rate schedule gives the following information: If your filing status is and the amt on line But not over The tax is 11b is more than $12,750 $60,000 $765 + 7% of the amount over $12.750 Single Calculate the taxed owed by a single taxpayer whose taxable income was $38.650.
Answer:
PLSS HELP I NEED TO AWNSER HOW DO I?
Step-by-step explanation: