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3 years ago

Helppp me pleaseee ASAP

Mathematics

1 answer:

Fiesta28 [93]3 years ago

7 0

Answer:

$856.91 after 7 years

Step-by-step explanation:

Initial investment, P = 500

Interest rate, i = 8% (compounded once a year, i.e. annually)

Number of years, t = 7

Substitute in compound interest formula

Future value,

A = P (1 + 0.08/1) ^(1*7)

= 500 (1.08)^7

= 856.91 (to the nearest cent)

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Simplify. -1/2X+3-4X+5+3/2X<br><br> x

Snezhnost [94]

Answer:-3x+8

Step-by-step explanation:

8 0

3 years ago

Which system is equivalent to 3x^2 - 4y^2 = 25

Archy [21]

For this case we have the following system of equations:

$3x ^ 2 - 4y ^ 2 = 25\\-6x ^ 2 - 2y ^ 2 = 11$

We can write a system of equivalent equations.

For this, it is enough to multiply one of the two equations by a scalar.

Multiplying the equation 1 by 2, we have:

$6x ^ 2 - 8y ^ 2 = 50$

Therefore, the new system of equations is:

$6x ^ 2 - 8y ^ 2 = 50\\-6x ^ 2 - 2y ^ 2 = 11$

Answer:

A system that is equivalent is:

D) $6x ^ 2 - 8y ^ 2 = 50\\-6x ^ 2 - 2y ^ 2 = 11$

4 0

3 years ago

Read 2 more answers

Being 10 miles apart, two cars started moving towards each other. After one hour they met, and during that time the first car co

Vladimir [108]

The speed of the first car was 6 miles/hour

<h3>Further explanation</h3>

Acceleration is rate of change of velocity.

$\large {\boxed {a = \frac{v - u}{t} } }$

$\large {\boxed {d = \frac{v + u}{2}~t } }$

<em>a = acceleration ( m/s² )</em>

<em>v = final velocity ( m/s )</em>

<em>u = initial velocity ( m/s )</em>

<em>t = time taken ( s )</em>

<em>d = distance ( m )</em>

Let us now tackle the problem!

<u>Given:</u>

Distance between two cars = d = 10 miles

Time Taken = t = 1 hour

Distance covered by the first car = d₁ = 2 + d₂

<u>Unknown:</u>

Speed of the first car = v₁ = ?

<u>Solution:</u>

$d = d_1 + d_2$

$10 = ( 2 + d_2 ) + d_2$

$10 = 2 + 2d_2$

$10 - 2 = 2 d_2$

$8 = 2 d_2$

$d_2 = 8 \div 2$

$d_2 = 4 \texttt{ miles}$

$\texttt{ }$

$d_1 = 2 + d_2 = 2 + 4 = 6 \texttt{ miles}$

$v_1 = d_1 \div t = 6 \div 1 = 6 \texttt{ miles/hour}$

<h3>Learn more</h3>

Velocity of Runner : brainly.com/question/3813437
Kinetic Energy : brainly.com/question/692781
Acceleration : brainly.com/question/2283922
The Speed of Car : brainly.com/question/568302

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle

7 0

3 years ago

Read 2 more answers

Roddy Richards invested $12014.88 in Wolverine Meat Distributors (W.M.D.) five years ago. The investment had yearly arithmetic

arlik [135]

Answer:

The arithmetic average return would be 3.96%

Step-by-step explanation:

Given,

The returns in 5 years are,

-9.7%, -8.1%, 15%, 7.2%, and 15.4%

We know that,

$\text{Arithmetic average}=\frac{\text{Sum of all observations}}{\text{Number of observations}}$

Hence,

The arithmetic average return of the investment = $\frac{-9.7-8.1+15+7.2+15.4}{5}$

$=\frac{19.8}{5}$

= 3.96%

8 0

3 years ago

Work out the lengths of sides a and b.

alukav5142 [94]

The length of the missing sides of triangles A and B are 9.43 cm and 12.04 cm respectively.

<h3>Pythagoras theorem</h3>

Triangle A:

Height = 8cm
Base = 5cm
Hypotenuse = x cm

Hypotenuse² = height ² + base²

x² = 8² + 5²

= 64 + 25

x² = 89

x = √89

x = 9.43 cm

Triangle B:

Height = 12cm
Base = x cm
Hypotenuse = 17 cm

Hypotenuse² = height ² + base²

17² = 12² + x²

17² - 12² = x²

289 - 144 = x²

145 = x²

x = √145

x = 12.04 cm

Learn more about right triangle:

brainly.com/question/2217700

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3 0

2 years ago