A man invests a certain amount of money at 2% interest and $800 more than that amount in another account at 4% interest. At the end of one year he earned $112 in interest. How much money was invested in each account?Which of the following equations could be used to solve the problem?

A.)0.02x + 0.04(800) = 112
B.)0.02x + 0.04(x + 800) = 112
C.)0.04x + 0.02(x + 800) = 112

Answers

Answer 1

Answer: .02x+.04*2x=112
.02x+.08x=112
.10x=112
x=112/.10
x=$1,120 invested @ 2%.
2*1,120=$2,240 amount invested @ 4%.
Proof:
.02*1,120+.04*2,240=112
22.4+89.6=112
112=112

Answer 2

Answer:

A.) 0.02x + 0.04(800) = 112

please rate and thank

Related Questions

The second term of an arithmetic sequence is -39. The rule a, = a -1 + 12 can be used to find the next term of thesequence. What is the explicit rule for the arithmetic sequence?a, = -51+12(n-1)O a = -39+12(n-1)O a, = 12+(-39)(n-1)O a = 12+(-51)(n-1)
Katarina bought a package of 500 stickers. Each sheet in the package has 20 stickers.25% of the stickers on each sheet are hearts. The remaining stickers are stars.Drag the tiles to identify the number of heart stickers and the number of star stickers in the package.Numbers may be used once or not at all.2025100125325375475480Number of Heart StickersNumber of Star Stickers Pls tell me it really hard :(
A triangle is shown Below based on this triangle which one of the following statements is true
Write an exponential function to model the situation , then find the amount after the specified time. A population of 120000 grows 1.2% per year for 15 years.
A rectangle is three times as long as it is wide. If the total area of the rectangle is 48 square inches, what is the length of the rectangle?

Help?!? will give a medal! Find the area of a circle with a diameter of 22 inches. Use 3.14 for pi.

379.94 in2

452.16 in2

527.52 in2

621.72 in2

Answers

The formula for area of a circle is:

A = πr^2

where A is the area and r is the radius which is half the diameter.

Let's plug in values we know and solve:

A = 3.14(11 in)^2

A = 3.14(121 in^2)

A = 379.94 in^2

Answer:

the Answer is A i just took the test

Equation:cosθ= -12/13 for π <θ<3π /2
prompt:
find sin 2θ, cos 2θ, and tan 2θ

Answers

Cosθ = -12/13.
For π <θ<3π /2 means 180° <θ< 270°. That is the third quadrant.

Let us just have the positive value of Cosθ = 12/13

Cosθ = Adjacent / Hypotenuse = 12 / 13

So we imagine a right angled triangle with adjacent side = 12, and Hypotenuse = 13.

To get the opposite side we apply Pythagoras' Theorem. Let the opposite side be x.

x² + 12² = 13²
x² + 144 = 169
x² = 169 - 144
x² = 25
x = √25
x = 5.

Sinθ = Opposite / Hypotenuse = 5 / 13

Tanθ = Opposite / Adjacent = 5 / 12

Recall the angle is in the third quadrant, and in the third quadrant, only Tangent is positive, Cosine and Sine are both negative.

Therefore
Cosθ = -12/13 Sinθ = -5/13 Tanθ = 5/12

Solving:

i) Sin2θ = 2SinθCosθ. By Trigonometric Identity.

= 2*(-5/13)*(-12/13)

= 120/169

ii) Cos2θ = 2Cos²θ - 1

= 2*(-12/13)(-12/13) - 1

= 288/169 - 1

= (288 - 169) / 288

    = 119/288

Tan2θ = 2Tanθ /(1 - Tan²θ)

   = 2*(5/12) / ( 1- (5/12)²)

   = (5/6) / ( 1 - 25/144)

   = (5/6) / ( (144 -25)/144)

   = (5/6) / (169/25)

   = (5/6) * (25/169)

   = 125/1014

I hope this helps.

Simplify completely the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the third power times y to the 2nd power all over 5 times x to the third power times y.2x9y4 + 4x6y3
2x3y2 + 4xy
2x3y2 + 4y2
2x3y2 + 4y

Answers

Answer:

Option 4th is correct

$2x^3y^2+4y$

Step-by-step explanation:

GCF(Greatest common factor) is the largest number that divide the polynomial.

Given the statement:

the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the third power times y to the 2nd power all over 5 times x to the third power times y

⇒ $(10x^6y^3+20x^3y^2)/(5x^3y)$

To simplify this expression:

GCF of $10x^6y^3$ and $20x^3y^2$ is, $10x^3y^2$

then;

$(10x^3y^2(x^3y+2))/(5x^3y)$

⇒ $2y(x^3y+2)$

Using distributive property: $a\cdot (b+c) = a\cdot b+ a\cdot c$

⇒ $2x^3y^2+4y$

Therefore, the simplified expression is, $2x^3y^2+4y$

(10x^6y^3 + 20x^3y^2) / 5x^3y

10x^6y^3 / 5x^3y ⇒ 2x^3y^2
20x^3y^2 / 5x^3y ⇒ 4y

2x³y² + 4y This is the simplified answer. The last option.

Using the numbers -4, 10, 8, 2, -3, -5, create an expressions that equals to 6.

Answers

Answer:

10+(-4)=6

Step-by-step explanation:

Answer:

-4 + 10

Step-by-step explanation:

The center of a circle is at (7, –3) and it has a radius of 9. What is the equation of the circle?(x – 7)2 + (y + 3)2 = 3

(x + 7)2 + (y – 3)2 = 3

(x + 7)2 + (y – 3)2 = 81

(x – 7)2 + (y + 3)2 = 81

Answers

Given:
center (7,-3)
radius = 9

Equation of the circle:
(x-h)² + (y-k)² = r²
(x-7)² + (y-(-3)² = 9²
(x-7)² + (y+3)² = 81 Last option.

The image of the point (1, -2) after a rotation of 180° about the origin is:

Answers

Answer:

$(-1,2)$

Step-by-step explanation:

We have been coordinates of a point $(1,-2)$ . We are asked to find the coordinates of the point after a rotation of 180° about the origin.

We know that after rotating a point 180° about the origin, the coordinates of point changes their signs to opposite. The rule of rotating a point 180° about the origin is $(x,y)\rightarrow (-x,-y)$ .

After rotating the point $(1,-2)$ 180° about the origin its coordinates would be:

$(1,-2)\rightarrow (-1,--2)$

$(1,-2)\rightarrow (-1,2)$

Therefore, the coordinates of the given point after a rotation of 180° about the origin would be $(-1,2)$ .

The answer is (-1,2)

Other Questions

WRITE A COMPOUND INEQUALITY FOR EACH GRAPH PLEASEEE HELP DUE IN !) MINUTES!!!!!

The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(3) = 27?A. A cube with a volume of 3 cubic feet has side lengths of 27 feet. B. A cube with side lengths of 3 feet has a volume of 27 cubic feet. C. 3 sides of the cube have a total length of 27 feet. D. 3 of these cubes will have a total volume of 27 cubic feet.

The function f(t) = 4t2 − 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 3 meters from the ground f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground

Which polynomials are prime? Check all that apply.15x2 + 10x – 9x + 720x2 – 12x + 30x – 186x3 + 14x2 – 12x – 28 8x3 + 20x2 + 3x + 1211x4 + 4x2 – 6x2 – 16