Thomas deposited $800 into two different accounts.
- He deposited $450 into an account that pays 4.5% simple interest.
- He deposited $350 into an account that pays 4.25% compounded annually.
If Thomas does not deposit additional money into the accounts and he doesn't withdraw any money from the accounts, which is closest to the total balance he will have in the accounts at the end of 2 years?
Group of answer choices
A. $820.38
B. $1,220.88
C. $871.79
D. $870.88

Answers

Answer 1

The total balance he will have in the accounts at the end of 2 years will be $870.88. The correct option is D.

What are simple interest and compound interest?

In most cases, simple interest paid or received over a specific time period is a fixed percentage of the principal amount borrowed or lent. Borrowers must pay interest on interest as well as principal because compound interest accrues and is added to the accumulated interest from previous periods.

Given that Thomas deposited $450 into an account that pays 4.5% simple interest and deposited $350 into an account that pays 4.25% compounded annually.

The simple interest is calculated as,

SI = ( 450 x 4.5 x 2 )

SI = $40.5

Amount = 450 + 40.5

Amount = $490.5

The compound interest will be calculated as,

A = 350 ( 1 + 0.0425 )²

A = $380.38

The total balance in the account after 2 years will be,

Total balance = $490.5 + $ 380.38

Total balance = $870.88

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Related Questions

Amanda, Boris, and Jose sent a total of 124 text messages during the weekend. Amanda sent 8 fewer messages than Jose
Boris sent 4 times as many messages as Jose. How many messages did they each send?

Answers

Answer:

Amanda= 14

Boris = 88

Jose= 22

Step-by-step explanation:

Amanda= jose-8

Boris = 4×jose

Jose= Jose

total all = 124

(jose-8)+(jose×4)+(jose)= 124

so we substitute jose with X .

(X-8)+(4X)+(X)=124

6X-8= 124.

6X=124+8

X=132/6

X= 22.

so that total jose is 22, minus 8 we get Amanda, times 4 we get Boris.

Do ALL These Questions CORRECT And You Get Brainliest And 35 Points! Also ill Follow You!

Answers

The image doesn't load for me.

HELP PLEASE: without doing the math, determine which is greater, 50 times 1/5 or 50 divided by 1/5. explain your reasoning.

Answers

Answer:

The first option

Step-by-step explanation:

Have a nice day :)

Find the area and perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of pi (no approximations). The figures below are based on semicircles or quarter circles.

*I found the area but I can't seem to find the perimeter

Answers

Answer:

[tex] A=(8 \pi +40) cm^2 [/tex]

[tex] P=(4 \pi + 4\sqrt {29}) \: cm[/tex]

Step-by-step explanation:

For semicircle:

Diameter = 8 cm

Radius (r) = 8/2 = 4 cm

For triangle:

Base (b) = 8 cm

Height (h) = 10 cm

Area of the shaded region

[tex] A=\frac {1}{2} \pi r^2 +\frac {1}{2}b.h[/tex]

[tex] A=\frac {1}{2} \pi (4)^2 +\frac {1}{2}(8).(10)[/tex]

[tex] A=(8 \pi +40) cm^2 [/tex]

By Pythagoras Theorem:

[tex] AC = BC = \sqrt {4^2 +10^2}[/tex]

[tex] AC = BC = \sqrt {16 +100}[/tex]

[tex] AC = BC = \sqrt {116}[/tex]

[tex] AC = BC =2\sqrt {29}[/tex]

[tex] P= \frac {1}{2} \times 2\pi r+ AC + BC[/tex]

[tex] P= \pi (4)+ 2\sqrt {29} + 2\sqrt {29}[/tex]

[tex] P=(4 \pi + 4\sqrt {29}) \: cm[/tex]

What does x equal to?

Answers

Answer:

x = 25°

Step-by-step explanation:

the angle adjacent to the 130 angle is 50 degrees

x = 180-(105+50)

x = 180-155

x = 25

Hey! Please answer this fast, it’s due soon. It’s fractions

Answers

Answer:

3/12 - 8/12= 5/12

10/12 - 5/12= 5/12

Finde
3 rational number
7 and 8

Answers

Answer:

7/1; 4/2=2;8/1

7 is rational number because 7/1 = 7

8 = 4 x 2 = 4/1 x 2/1 and both rational.

Step-by-step explanation:

Multiply by any number/ same with both

7/1×6=42/6

8/1×6=48/6

So,

43/6,44/6,45/6 Answer

hope it helps

Please help me with this problem!!

Answers

Yes, the correct answer would be 45. Good luck

Please answer correctly!! I’ll mark as brainliest!

No links no fake answers

Answers

#5 is 21 but I don’t know about the first one

Answer:

The first answer is 31.5.

The second is 21.

Step-by-step explanation:

Gllberto invests $10,000 in a savings account that pays 4.75% simple interest. If Gilberto
makes no withdrawals or deposits to the account, how much will be in the account after 7
years?

Answers

Answer:

$13,325

Step-by-step explanation:

Find the value of x, y, and z.
Round to the nearest tenth if needed.
Please help me

Answers

Answer:

x = 26.5

y = 12.0

z = 13.4

Step-by-step explanation:

✔️To find x, apply the leg rule, which is:

Hypotenuse/leg = leg/part

Hypotenuse = 30

Leg = x

Part = 30 - 6 = 24

Plug in the values into the equation

30/x = x/24

Cross multiply

x² = 30*24

x² = 720

x = √720

x = 26.5 (nearest tenth)

✔️Apply the triangle altitude theorem to find y:

Based on the theorem, h = √(ab)

Where,

a = 6

b = 30 - 6 = 24

h = y

Plug in the values

y = √(6*24)

y = √144

y = 12

✔️Apply the leg rule, Hypotenuse/leg = leg/part to find z:

Hypotenuse = 30

Leg = z

Part = 6

Plug in the values into the equation

30/z = z/6

Cross multiply

z² = 30*6

z² = 180

z = √180

z = 13.4 (nearest tenth)

Which choice shows three lengths that cannot be the lengths of the three sides of a triangle? 2 cm, 8 cm, 8 cm B. 2 cm, 3 cm, 6cm C. 4cm, 5 cm, 7 cm . D. S cm. 6 cm. 9 cm​

Answers

Answer:

A

Step-by-step explanation:

Because the lengths are way off for A.

2cm, 8cm, 8cm

A parabola has a vertex (-3, -2) and contains the point (-5, 6). Write the equation for this parabola in vertex form.

Answers

Answer:

[tex]y = 2(x +3)^2 -2[/tex]

Step-by-step explanation:

Given

[tex](h,k) = (-3,-2)[/tex] --- vertex

[tex](x,y) = (-5,6)[/tex] --- point

Required

Determine the equation

The general form is:

[tex]y = a(x - h)^2 + k[/tex]

First, we solve for a:

Substitute [tex](h,k) = (-3,-2)[/tex] and [tex](x,y) = (-5,6)[/tex] in [tex]y = a(x - h)^2 + k[/tex]

[tex]6 = a(-5 - (-3))^2 - 2[/tex]

[tex]6 = a(-2)^2 - 2[/tex]

[tex]6 = 4a - 2[/tex]

Solve for a

[tex]4a = 6 + 2[/tex]

[tex]4a = 8[/tex]

[tex]a = 2[/tex]

So:

[tex]y = a(x - h)^2 + k[/tex]

[tex]y = 2(x - (-3))^2 -2[/tex]

[tex]y = 2(x +3)^2 -2[/tex]

Which of the following could be used to estimate 75 -32?
A. 80 - 30
B. 70 - 30
C. 80-40
D. 70 - 40​

Answers

Answer:

b

Step-by-step explanation:

the answer when not rounded is 43.

6. Rewrite each of the following expressions without roots by using fractional exponents.

Please help! I have tried to look it up everywhere and I don’t understand how to do it. Anything helps!!

Answers

Answer:

A. x¹/²

B. x¹/³

C. x¹/⁷

D. x⁵/²

E. x¹¹/³

F. 1 / x¹/⁴

G. 1 / x²/³

H. 1 / x⁹/²

Step-by-step explanation:

A. √x

Recall

√M = M¹/²

Therefore,

√x = x¹/²

B. ³√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

³√x = x¹/³

C. ⁷√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

⁷√x = x¹/⁷

D. √x⁵

Recall

√Mⁿ = Mⁿ/²

Therefore,

√x⁵ = x⁵/²

E. ³√x¹¹

Recall

ⁿ√Mᵃ = Mᵃ/ⁿ

Therefore,

³√x¹¹ = x¹¹/³

F. 1 / ⁴√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

1 / ⁴√x = 1 / x¹/⁴

G. 1 / ³√x²

Recall

ⁿ√Mᵃ = Mᵃ/ⁿ

Therefore,

1 / ³√x² = 1 / x²/³

H. 1 / √x⁹

Recall

√Mⁿ = Mⁿ/²

Therefore,

1 / √x⁹ = 1 / x⁹/²

Help ASAP, ACD and DCB form a linear pair

Answers

Answer:

40

Step-by-step explanation:

because 180- 140 = 40

a linear pair means they equal 180

The measure of angle ACD (∠ACD) is 40 degrees.

Given that angles ACD and DCB forms a linear pair, also m ∠DCB = 140°,

We are asked to find the measure of ∠ACD,

So,

If angles ACD and DCB form a linear pair, it means that their sum is equal to 180 degrees.

Let's denote the measure of angle ACD as x.

So, we have the equation:

m∠ACD + m∠DCB = 180°

Substituting the given value for m∠DCB:

x + 140° = 180°

To solve for x, we can subtract 140° from both sides of the equation:

x = 180° - 140°

x = 40°

Therefore, the measure of angle ACD (∠ACD) is 40 degrees.

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Number 1 help please

Answers

Answer:

D

Step-by-step explanation:

the figure is in the origin therefore no reflection will affect the shape

If a varies directly with x squared, and a = 8 when x = 4 find the constant variation of k

Answers

Answer:

k = 0.5

Step-by-step explanation:

Given a varies directly with x² then the equation relating them is

a = kx² ( k is the constant of variation )

To find k use the condition a = 8 when x = 4 , then

8 = k × 4² = 16k ( divide both sides by 16 )

0.5 = k

I don’t understand algebra. Help me

Answers

No solution there are no values of x

UNIT TEST:
TVAH: GeometryB Unit 4 Test
The perimeter of the base of a right square pyramid is 32 cm. The height of the
pyramid is 8 cm.
What is the volume of the pyramid?
O 256 cm
O 170.67 cm
o 85.33 cm
O 512 cm
2 3
4
5
6
7
Next
8 9 10 11
o
9

Answers

Answer:

170.67 cm^3

Step-by-step explanation:

The volume is given by ...

 V = 1/3s²h

We are given that 4s=32, so s=8. We are also given that h=8. (All linear dimensions are in centimeters.) Then the volume is ...

 V = (1/3)(8²)(8) = 512/3 = 170.67 . . . . cm³

Answer:

170.67 cm^3

Step-by-step explanation:

took the test

4. Maggie carried 3 bags of groceries in from the grocery store. • The first bag weighed 4 5/12pounds. • The second bag weighed 2 1/6 pounds • The third bag weighed 1 2/3 pounds. She carried the first bag in her left hand. She carried the second and third bag in her right hand. How much more weight did she carry with her left hand than her right hand?​

Answers

Using improper fractions, it is found that she carried 0.583 pounds more with her left hand than with her right hand.

How to convert improper fractions to standard fractions?

The conversion is made according to the following formula:

[tex]a\frac{b}{c} = a + \frac{b}{c} = \frac{ac + b}{c}[/tex]

In her right-hand, the amount she carried is given by:

[tex]2\frac{1}{6} + 1\frac{2}{3} = \frac{13}{6} + \frac{5}{3} = \frac{13}{6} + \frac{10}{6} = \frac{23}{6}[/tex]

In her left-hand, the amount was of:

[tex]4\frac{5}[12} = \frac{53}{12}[/tex]

The difference is of:

[tex]\frac{53}{12} - \frac{23}{6} = \frac{53}{12} - \frac{46}{12} = \frac{7}{12} = 0.583[/tex]

She carried 0.583 pounds more with her left hand than with her right hand.

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solving by elimination
2x+8y=6
5x+20y=15

Answers

Answer:

Solve for  x  in the first equation.

Subtract  8 y  from both sides of the equation.

2 x = 6 − 8 y

5 x + 20 y = 15

Divide each term by  2  and simplify.

Divide each term in  

2 x /2 =  6/2  − 8 y/2  

5 x + 20 y = 15

Cancel the common factor of  2 .

Cancel the common factor.

2 x /2  =  6 /2  + (− 8 y)/ 2

Step-by-step explanation:

I don't have room to put the rest. So go to math-way

what is the mass of 20 buckets

Answers

20xmass of one bucket
10 percent is the mass number

What is the area of the parallelogram?
3
2

Answers

Answer: 6

Answer Explanation: Area=Base*Height

Find the 65th term of the arithmetic sequence -30, -41, -52

Answers

Answer:

        a₆₅ = - 734

Step-by-step explanation:

The n-th term of arithmetic sequence:  [tex]a_n = a_1+d(n-1)[/tex]

a₁ = -30

a₂ = -41

a₃ = -52

-41 - (-30) = -11  and -52 - (-41) = -11

It means d = -11

Therefore:

              [tex]a_{65}=-30+(-11)(65-1)=-30-11\times64=-734[/tex]

What are the first two steps in solving the radical equation below?
X+3 - 7 - 15
A. Square both sides and then subtract 3 from both sides.
B. Add 7 to both sides and then square both sides.
C. Add 7 to both sides and then subtract 3 from both sides.
D. Square both sides and then add 7 to both sides.

Answers

Answer:

B

Step-by-step explanation:

add 7 to get away the 7 on the left hand side

square both side to eliminate square root

The first two steps in solving the radical equation are to Add 7 to both sides and then square both sides.

What are radical?

A radical is the opposite of the power, therefore, the roots are known as the radical. It is denoted as √, ∛, etc.

In order to solve the given radical, we will go through the following steps,

[tex]\sqrt{x+3}-7=15[/tex]

1.  Add 7 both the sides to eliminate -7 from both the sides,

   [tex]\sqrt{x+3}-7+7=15+7\\\\\sqrt{x+3}=22[/tex]

2. Square both the sides to remove the square root,

   [tex]\sqrt{x+3}=22\\\\(\sqrt{x+3})^2=22^2\\\\x+3 = 484[/tex]

Hence, the first two steps in solving the radical equation are to Add 7 to both sides and then square both sides.

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The probability that is will rain today is 65%, and the probability that it will rain tomorrow is 25%.

The probability that it will rain both days is 35%.

What is the probability that is will rain today or tomorrow?

Answers

Answer:

65%

Step-by-step explanation:

Find the second base of a trapezoid with an area of 96 inches, a height of 8 inches, and a 1st base measuring 11 inches.

Answers

Answer:

13

Step-by-step explanation:

11+x=y

yx8=z

z/2=96

96x2=192

192/8=24

24-11=13

x=13

A box of chocolates has 5 creme filled, 8 peanut butter filled, and 7 caramel filled chocolates. What is the probability, expressed as a
percent of randomly selecting a creme filled chocolate?
A) 5%
B) 15%
C) 20%
D) 25%

Answers

Answer:

25%

Step-by-step explanation:

Step 1: Add all the possible choices up

8 + 5 + 7 = 20

Step 2: Note that your finding the probability for creme filled ones

Step 3: Make it a fraction

5 creme filles ones out of 20

5/20

Step 4: Simplify

1/4

Step 5: Convert into a decimal (if you don't already know it)

1 ÷ 4 =

.25

Step 6: Multiply by 100 to find percentage

.25 × 100 = 25%

What are the domain and
range
of an exponential parent function?
A. The domain is positive real numbers (x > 0), and the range is all
real numbers.
B. The domain is all real numbers, and the range is nonnegative real
numbers (y≥ 0).
C. The domain is nonnegative real numbers (x≥ 0), and the range is
all real numbers.
D. The domain is all real numbers, and the range is positive real
numbers (y > 0).

Answers

Answer: it’s D

Step-by-step explanation:

The domain and the range of an exponential parent function mean that the domain is all real numbers and the range signifies positive real numbers y > 0.

What is an exponential parent function?

The simplest parent function of an exponential function takes the form:

[tex]\mathbf{f(x) = p^x}[/tex], where p refers to the base.

So, if we have a number such that x = 3 and the base is 2

f(3) = 2³f(3) = 6

Therefore, we can conclude that the domain of an exponential parent function is all real numbers, and the range is positive real numbers (y > 0).

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