Zachary invests $400 into an account that earns 3.5% simple interest for 5 years. He does not make any other deposits or withdrawals.

At the end of 5 years, Zachary invests the entire account balance into a different account that earns 5% simple interest. He leaves the money in the account for 2 years without making any additional deposits or withdrawals.

What is the new account balance at the end of 2 years?

Drag and drop values into the boxes to correctly complete the statements.

Zachary invests $Response area into the account that earns 5% simple interest. At the end of 2 years, the account balance is $Response area.

Answers

Answer 1

Answer:

Zachary invests $470 into the account that earns 5% simple interest. At the end of 2 years, the account balance is $517

Step-by-step explanation:

I took the test

Answer 2

The new account balance at the end of 2 years is $517.

Simple interest

5 years

Using this formula

I= (P+r×t)

Where:

I=Interest=?

P=Principal=$400

r=Interest rate=3.5%

t=Time=5 years

Hence:

I= ($400×0.035 x 5)

I= $70

2 years

I=Interest=?

P=Principal=$470

r=Interest rate=5%

t=Time=2 years

I=($470+0.05×2)

I=$47

New balance:

New balance=$400+$70+$47

New balance=$517

Inconclusion the new account balance at the end of 2 years is $517.

Learn more about simple interest here:https://brainly.com/question/2294792


Related Questions

How many lines of symmetry does a scalene triangle have.

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Answer:

Your answer would be 0.

Hope this helps :D

Graph this line using the slope and y-intercept:
y= 1/3x+9
(1/3 is fraction) i will give brainliest :)

Answers

Put a point at (0, 9)
And a point at (3, 10)

Explanation
Y-intercept is point in the y line
And slope is rise over run so if the fraction is 1/3 the. You go up one and to the right 3

Answer:

Two points, (0,9) & (3,10)

Step-by-step explanation:

First point, look at the +9 which should signal that it is 0,9 because that is the y-intercept

Next, use rise/run system to use the slope (1/3) and find your next point

Go up 1 from 9 to 10 (this is the rise part)

Go horizontally 3 to get your x-axis point (this is the run part)

Hope this helps and please award brainliest if possible!

Solve and reduce to lowest terms: 8/11 x 1/2

Answers

Hii!

8/11×1/2 is 8/22

Simplified to

8/22->4/11

Hope dis helps:]]

Brainliest?

find the side of the cubical box whose volume is 262144 cm3.

Answers

Answer:

64 cm

Step-by-step explanation:

take the

cube root of 262144

REALLY EASY POINTS
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What are the values of a positive attitude?

Answers

Answer:

3 values of postivity is Optimistim, Kindness, and an open mind/Growth mind set.

Step-by-step explanation:

the scale of a map is 1cm : 17km. find the actual distance corresponding to the map distance. the distance on the map is 2.5cm

Answers

Step-by-step explanation:

1cm:17km so

2.5cm=17*2.5=42.5

please help!! show work needed

Answers

Answer:

the answer is 46 hope it helps

heeeeelppppp please heeelpppp omg 25 points

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Answer:

The fraction, or the one on the right is larger by just a few decimals.

Step-by-step explanation:

Have an amazing day :D

Math question from my quizziz, I don't know if it's 1/a^9 or a^9

Answers

Answer:

red or 1/a9

Step-by-step explanation:

with that it is

a^ (3-12)

a^ (-9)

and then you can't have -9 in the top so you put it on the bottom

1/ a^9

Answer:

[tex]\frac{1}{a^9}[/tex]

Step-by-step explanation:

Cancel the common factor of [tex]a^3[/tex] and [tex]a^1^2[/tex]

[tex]a^3^-^1^2=a^-9[/tex]

Same things as 3-12 = -9

Hence, [Red] or [tex]\frac{1}{a^9}[/tex] is the correct Answer.

[RevyBreeze]

can someone pls help me on this question i’ve literally been stuck on it all day

Answers

Let me know if you have questions

The number of points scored by the bears, eagles, and cowboys last weekend was three consecutive odd numbers. the bears scored the least number of points and the cowboys scored the most. if the product of the points scored by the bears and cowboys was 37 more than the 8 times the sum of the points scored by the eagles and cowboys, how many points did the eagles score?
A) 13 points
B) 15 points
C) 17 points
D) 19 points
E) 21 points
Please show solution

Answers

Answer: The Philadelphia Eagles tried to blow a 19-point lead to the Chicago Bears, but managed to hold on for a 22-14 victory in a rematch of the NFC Wild Card Game to move to 5-4 on the year. Philadelphia allowed the Bears to score 14 unanswered points after taking a 19-0 lead in the third quarter, but put together one of their most impressive drives of the season in taking 8:14 off the clock in the fourth quarter, converting four consecutive third downs in the most critical junction of the game.

Chicago never got the ball back after Jake Elliott hit a 38-yard field goal with 26 seconds left to make it 22-14. Bears tight end Adam Shaheen muffed the catch on the kickoff and the Eagles recovered to deny Chicago a last ditch effort for a Hail Mary and an attempt to tie the game with a two-point conversion.

Jordan Howard scored a touchdown in his first game against his former team, finishing with 19 carries for 82 yards and a touchdown. Zach Ertz had his best game of the season as the Eagles tight end had nine catches for 103 yards and a touchdown, a 25-yard catch for his second score of 2019.

The Bears had just nine total yards in the first half, but rallied back in this game with two scoring drives in three possessions between the third and fourth quarter. Chicago's offense had no turnovers, but finished with just 164 yards of offense. Mitchell Trubisky went 10 of 21 for 125 yards with no touchdowns and a 66.6 passer rating. The Bears have lost their fourth consecutive game after a 3-1 start to the season, falling to 3-5 and remaining in last place in the NFC North.

Step-by-step explanation:

The number of points scored by the eagles is 19 points.

Suppose the points scored by the bears, eagles, and cowboys are x, x+2, x+4 respectively.

It is given the product of the points scored by the bears and cowboys was 37 more than the 8 times the sum of the points scored by the eagles and cowboys.

This means, x(x+4) =37+8(x+2+x+4)

x(x+4) =37+8(2x+6)

[tex]x^{2} +4x = 37+16x+48[/tex]

[tex]x^{2} -12x-85=0[/tex], which is a quadratic equation.

What is a quadratic equation?

Any equation in the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].

[tex]x^{2} -17x+5x-85=0[/tex]

[tex]x(x-17)+5(x-17)=0[/tex]

[tex](x-17)(x+5)=0[/tex]

[tex]x=17[/tex]

So, eagles scored x+2 = 17+2 =19 points.

Therefore, The number of points scored by the eagles is 19 points.

To get more about quadratic equations visit:

https://brainly.com/question/1214333

Please help! It's homework!

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Answer:

Can’t see clearly

help please! i will give brainliest

Answers

Answer:

x=6

Step-by-step explanation:

[tex]4(x+5)=9x+4x-34[/tex]

Step 1 :[tex]4x+20=9x+4x -34[/tex]

At step one, you have distributive property.

Step 2:[tex]4x+20=13x-34[/tex]

Step two you have to combine like terms.

Step 3:[tex]4x-4x+20=13x-4x-34[/tex]

Now is subtraction property

Step 4:[tex]20+34=9x-34+34[/tex]

additon

Step 5:[tex]\frac{54}{9}=\frac{9x}{9}[/tex]

division

x=6

Evaluate the function

Answers

Answer:

[tex]f(10) \: is \: \: - 183[/tex]

Step-by-step explanation:

[tex]f(x) = { - 2x}^{2} + 17[/tex]

Question :

Find f(10) ?

Solution :

[tex]f(x) = { - 2x}^{2} + 17[/tex]

Substitute x = 10

[tex]f(10) = - 2 {(10)}^{2} + 17[/tex]

[tex] f(10) = - 2(100) + 17[/tex]

[tex]f(10) = - 200 + 17[/tex]

[tex] \boxed{f(10) = - 183}[/tex]

Rewrite the equation 3x – 5y=30 in slope-intercept form.
a. y= -3/5x +30

b. y= -5/3x -6

C. x= 5/3y -6

d. y = 3/5x - 6

Answers

Answer: D) y = 3/5x - 6

The correct answer is D. The equation in slope-intercept form is y = 3/5x - 6.

Step-by-step explanation:

Hope this helps =)

Rationalise the denominator

Answers

Answer:

30+12(square root of 5)

Step-by-step explanation:

Answer:

30 + 12[tex]\sqrt{5}[/tex]

Step-by-step explanation:

To rationalise the denominator, multiply the numerator and denominator by the conjugate of the denominator.

The conjugate of 2[tex]\sqrt{5}[/tex] - 4 is 2[tex]\sqrt{5}[/tex] + 4 , then

[tex]\frac{12\sqrt{5}(2\sqrt{5}+4) }{(2\sqrt{5}-4)(2\sqrt{5}+4) }[/tex] ← expand denominator using FOIL

= [tex]\frac{120+48\sqrt{5} }{20-16}[/tex]

= [tex]\frac{120+48\sqrt{5} }{4}[/tex] ( divide each term on numerator by 4 )

= 30 + 12[tex]\sqrt{5}[/tex]

Can someone check if this is right or did I solve it wrong?

The function y = f (x) is linear. Given f-¹ (0) = 3 and f (1) = - 4, find the formula f (x) and f-¹ (x).

Answers

Answer:

f(3x) - 2g(x+1) = 12x - 5

Step-by-step explanation:

You've got f[g(x)] and g[f(x)] correct

However, f(3x) means substitute 3x for x in f(x):

f(3x) = 2(3x) - 3

⇒ f(3x) = 6x - 3

2g(x+1) = 2[4 - 3(x + 1)]

⇒ 2g(x+1) = 2[4 - 3x -3]

⇒ 2g(x+1) = 2[1 - 3x]

⇒ 2g(x+1) = 2 - 6x

f(3x) - 2g(x+1) = (6x - 3) - (2 - 6x)

⇒ f(3x) - 2g(x+1) = 12x - 5

Write an explicit equation for the sequence based on the graph at right.

Answers

Answer:

[tex]t(n)=12 \cdot 3^{n-1}[/tex]

Step-by-step explanation:

From inspection, the points on the graph are:

(1, 12)(2, 36)(3, 108)

Therefore, as terms of a sequence:

[tex]t_1=12\\\\t_2=36\\\\t_3=108[/tex]

The difference between the y-coordinates is not equal, therefore the sequence is geometric.

Geometric sequence formula: [tex]t_n=t_1r^{n-1}[/tex]

As [tex]t_1=12 \implies t_n=12r^{n-1}[/tex]

To find r, divide one term by the previous term:

[tex]r=\dfrac{t_3}{t_2}=\dfrac{108}{36}=3[/tex]

Therefore, geometric sequence formula: [tex]t_n=12 \cdot 3^{n-1}[/tex]

What is the volume of this figure

Answers

Answer :

22 Cubic Units Enjoy.

◊ YusuCr ◊

Can someone help me and explain the answer to this problem: Jay's dog outgrew his rectangular pen that measured 10 feet by 14 feet. To make it larger, he increased each side length by the same amount, which increased the pen's area by 81 square feet. What is the greater side length of the larger pen in feet?

Answers

Answer:

ok so first lets find the original area which is just lenth*width

10*14=140

so they increace it by 81 so

140+81=221

then we just need to find what they increases the side by we know its the same so lets just say that x so

(10+x)(14+x)=221

x=3

so the longest time is 17 since 14+3=17

Hope This Helps!!!

please help!!! does anyone know what the numbers would be to x and y? i’ll give brainlest!!!

Answers

Answer:

x=-1 y=-4

x=0 y=-5

x=1 y=-6

x=2 y=-7

Step-by-step explanation:

Select ALL the true statements.

Answers

Answer:

A.

C.

Step-by-step explanation:

A. When adding a negative number to a positive, you subtract. 2.3 - 2.3 will equal 0.

B. When adding two negative numbers, you get an even smaller negative number. (-3.7) + (-4.1) = -7.8

C. When subtracting a negative number, the two negative signs become a positive. -12/4 is equal to 3. -2.6 + 3 is 0.4, which is positive.

D. 5/2 is the same as 2.5. If you subtract 2.5 from 2.5, you will get 0, which is not negative.

E. Two negative signs make a positive, so 72 + 100 is positive, not negative.

What is the product of 2,871
326?

Answers

Answer:

The product would be 935,946

Step-by-step explanation:

When you are asked the product of something you have to multiply it so 2,871 x 326= 935,946

Hope this helps:)

Answer: Product of 2 x 871326 will be 1742652

Step-by-step explanation:        
2×8 7 1 3 2 6
1 2

4 0

6 0 0

2 0 0 0

1 4 0 0 0 0    

1 6 0 0 0 0 0

1 7 4 2 6 5 2

Desiree buys two bracelets for a little more than $40 before tax. When she gets home, her mother asks her how much each bracelet costs. Desiree cannot remember the individual prices. Use indirect reasoning to show that at least one of the bracelets cost more than $20.​

Answers

Answer:

#FOR MY OPINION

hes have some $40 dollars before doing the tax
and she buy the bracelet bracelet prise is $5
AND HER MOTHER ASK THE BRACELET AND HER MOTHER GET SOME $20 DOLLARS THE TOTALY IS- $15.4

Step-by-step explanation:


Write an equation in slope-intercept form for the line with slope - 3/5 and y-intercept -1. Then graph the line.

Answers

Answer: equation: y= -3/5x - 1

See the attached image

please help me find total surface area

Answers

Answer:

190mm2

Step-by-step explanation:

8x6=48

8x7=56

8x7=56

6x5/2=15

6x5/2=15

48+56+56+15+15=190

the students at lincoln middle school are being split into 5 equal teams for dodgeball. each team has 20 people on it. how many total students are there?

Answers

Answer:

100

Step-by-step explanation:

5 x 20 is equal too one hundred

simplify the expression by combining like terms

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-1/4d+f
Hope this helps

** if u can answer this quickly it will be very appreciated!**
Fill in each blank with a number so that every row, column, and diagonal so that it adds up to the same total.

Answers

Answer:

9 -5 -4 6

-2 4 3 1

2 0 -1 5

-3 7 8 -6

Solve Tangent (x minus pi) minus cosine (x minus StartFraction 3 pi Over 2 EndFraction) = 0, x is an element of left-brace 0, 2 pi).

Answers

Answer:

  x ∈ {0, π, 2π}

Step-by-step explanation:

The expression can be simplified, which facilitates an answer.

  tan(x -π) -cos(x -3π/2) = 0

The tangent function has a period of π, so tan(x-π) = tan(x). The cosine function shifted right by 3π/2 is equivalent to the opposite of the sine function.

  tan(x) +sin(x) = 0 . . . . substitute simpler equivalents

  sin(x)/cos(x) +sin(x) = 0 . . . . use equivalent for tan(x)

  sin(x)(1/cos(x) +1) = 0 . . . . factor out sin(x)

  sin(x)(cos(x)+1)/cos(x) . . . . . combine terms to a single fraction

This has solutions where sin(x) = 0 and where cos(x) = -1. Those solutions are integer multiples of π.

  x ∈ {0, π, 2π}

Answer:

B

Step-by-step explanation:

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