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2 years ago

In the diagram below, DE is parallel to XY. What is the value of y

Mathematics

1 answer:

MaRussiya [10]2 years ago

3 0

We need the diagram pic, otherwise we cant solve your problem.

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A combined total of $53,000 is invested in two bonds that pay 5% and 6.5% simple interest. The annual interest is $3,085.00. How

m_a_m_a [10]

Answer:

Step-by-step explanation:

the amount of money invested at the rate of 5% is $24000

the amount of money invested at the rate of 6.5%. Is $29000

Step-by-step explanation:

Let x represent the amount of money invested at the rate of 5%.

Let y represent the amount of money invested at the rate of 6.5%.

The combined total of $53,000 is invested in two bonds that pay 5% and 6.5% simple interest.. This means that

x + y = 53000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time

Considering the investment at the rate of 5%,

P = x

R = 5

T = 1

I = (x × 5 × 1)/100 = 0.05x

Considering the investment at the rate of 6.5%,

P = y

R = 6.5

T = 1

I = (y × 6.5 × 1)/100 = 0.06.5y

The annual interest is $3,085.00.

it means that

0.05x + 0.065y = 3085 - - - - - -1

Substituting x = 53000 - y into equation 1, it becomes

0.05(53000 - y) + 0.065y = 3085

2650 - 0.05y + 0.065y = 3085

- 0.05y + 0.065y = 3085 - 2650

0.015y = 435

y = 435/ 0.015 = 29000

Substituting y = 29000 into

x = 53000 - y

x = 53000 - 29000

x = $24000

6 0

2 years ago

Consider the figure shown below. Find the value of BL

Gnesinka [82]

Answer:

BL = 2

Step-by-step explanation:

Given:

AL = 3

AC = 10

BC = 9

AL = AM = 3 (tangents drawn form am external point)

CM = AC - AM

CM = 10 - 3

CM = 7

CM = CN = 7 (tangents drawn form am external point)

BN = BC - CN

BN = 9 - 7

BN = 2

BN = BL = 2 (tangents drawn form am external point).

BL = 2

7 0

3 years ago

(3x^4y^5) ^ 3/7 in radical form

kobusy [5.1K]

The expression in radical form is $(\sqrt[7]{3x^4y^5}) ^3$

In order to express the given indices expression in radical form, we need to ensure there is a square root present in the resulting expression.

According to the law of indices,

$a^{m/n} = \sqrt[n]{m}$

Given the indices $(3x^4y^5) ^ {3/7}$

Comparing with the general formula, we will see that:

m = 3

n = 7

a = $3x^4y^5$

Applying the law of indices:

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

Hence the expression in radical form is $(\sqrt[7]{3x^4y^5}) ^3$

Learn more here: brainly.com/question/6755932

3 0

2 years ago

If f(x)= 5x + 4 and g(x) = 1/2x<br><br> find ,<br> a) fg(5)

Veseljchak [2.6K]

Answer:

f(g(5)) = 16.5

Step-by-step explanation:

To calculate f(g(5)), evaluate g(5) then substitute the value obtained into f(x)

g(5) = $\frac{1}{2}$ × 5 = 2.5 , then

f(2.5) = 5(2.5) + 4 = 12.5 + 4 = 16.5

5 0

2 years ago

Read 2 more answers

lys-0071 [83]

Answer:

The number of quarters Josie has in her collection of 92 coins 28 quarters

Step-by-step explanation:

The given information are

The total number of coins Josie has = 92

Let the number of quarters she has = x

Therefore, 92 = 8 + 3×x

8 + 3×x = 92

3×x = 92 - 8 = 84

3×x = 84

x = 84/3 = 28

x = 28

The number of quarters Josie has in her collection of 92 coins = 28 quarters.

4 0

2 years ago