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2 years ago

9

If Eric Sanchez saves $60 a month by using coupons and doing comparison shopping, (a) what is the amount for a year? (b) What wo

uld be the future value of this annual amount over 10 years, assuming an interest rate of 3 percent?

1 answer:

svetoff [14.1K]2 years ago

4 0

A. Annual Savings = $60 * 12 = $720

b. $8384.48

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What is the length of line segment EF if DE is 6ft and DF is 11ft and angle FDE is 40 degrees

Anna [14]

Answer:

The length of EF = 7.48 feet

Step-by-step explanation:

* Lets consider these tree segment formed triangle DEF

- We have the length of two sides and the measure of the

including angle between these two sides

* So we can use the cos Rule to find the length of the third side

- The cos rule ⇒ a² = b² + c² - 2bc cosA

# a is the side opposite to angle A

# b is the side opposite to angle B

# c is the side opposite to angle C

# Angle A is the including angle between b and c

* In the problem

∵ DE = 6 feet

∵ DF = 11 feet

∵ m∠FDE = 40° ⇒ including angle between DE and DF

and opposite to EF

- By using cos Rule

∴ (EF)² = (DE)² + (DF)² - 2(DE)(DF) cos∠FDE

∴ (EF)² = (6)² + (11)² - 2(6)(11) cos(40)

∴ (EF)² = 55.882133 ⇒ take square root for both sides

∴ EF = 7.47543 ≅ 7.48 feet

* The length of EF = 7.48 feet

6 0

2 years ago

You walk 2 miles from your house to the park and 4.5 miles from the park to the lake. Then you return home along a straight path

pshichka [43]

If they took the same route home itll be 13 miles

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2 years ago

Read 2 more answers

Alice is riding a Ferris wheel, where t is time in seconds. Suppose the Ferris wheel is 22 m tall. Let h(t) = 11cos(12t) represe

Soloha48 [4]

Answer:

Alice reaches 11 metres below the centre as lowest height.

Step-by-step explanation:

Cosine is a bounded function between -1 and 1, so that the lowest height that Alice achieves in Ferris wheel is:

$h(t) = 11\cdot \cos (12\cdot t)$

Where:

$t$ - Time, measured in seconds.

$h(t)$ - Height with respect to centre, measured in metres.

If $\cos (12\cdot t) = -1$ , then:

$h_{min} = 11\cdot (-1)$

$h_{min} = -11\,m$

Alice reaches 11 metres below the centre as lowest height.

7 0

2 years ago

What is the radical form of the expression?<br><br> (5x3y4)37<br> ↡

hram777 [196]

Option 4: $\sqrt[7]{125x^9y^{12}}$ is the right answer

Step-by-step explanation:

Given expression is:

$(\sqrt{5x^3y^4})^{\frac{3}{7}$

In order to convert an exponent into radical form, the power should be in the form of 1/x where x is any number

so,

in case of 3/7, it will be broken down

$(\sqrt{5x^3y^4})^{3*\frac{1}{7}}$

The 1/7 will be converted into base of radical while 3 will be he exponent

$\sqrt[7]{(5x^3y^4)^3}$

Multiplying exponents

$=\sqrt[7]{5^3x^{3*3}y^{4*3}}\\=\sqrt[7]{125x^9y^{12}}$

Hence,

Option 4: $\sqrt[7]{125x^9y^{12}}$ is the right answer

Keywords: Radicals, Exponents

Learn more about exponents at:

#LearnwithBrainly

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2 years ago

On a coordinate plane, a line with a 90-degree angle crosses the x-axis at (negative 4, 0), turns at (negative 1, 3), crosses th

mixer [17]

Answer:

b

Step-by-step explanation:

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2 years ago