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Yuliya22 [10]
2 years ago
14

Jane wants to save money to buy a motorcycle. She invests in an ordinary annuity that earns 4.2% interest, compounded quarterly.

Payments will be made at the end of each quarter. How much money will she need to pay into the annuity each quarter for the annuity to have a total value of $7000 after 3 years?
Mathematics
1 answer:
Sauron [17]2 years ago
3 0

Answer:

she need to pay is $550.40

Step-by-step explanation:

given data

interest = 4.2 % compounded quarterly = 0.042 / 4 = 0.0105

future value = $7000

time = 3 year = 3 × 4 = 12 months

to find out

How much money she need to pay

solution

we will apply here formula for future value for compound quarterly

that is

future value = principal × \frac{(1+r)^{t} -1 }{r}    .............1

put here all these value

future value = principal × \frac{(1+r)^{t} -1 }{r}

7000 = principal × \frac{(1+0.0105)^{12} -1 }{0.0105}

principal = 550.40

so she need to pay is $550.40

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Answer:

P = 8.6 m

Step-by-step explanation:

Given that,

The length of a rectangle = 2.5 m

The width of a rectangle = 1.8 m

We need to find the perimeter of the rug. The perimeter of a rectangle is given by :

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6 0
2 years ago
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ankoles [38]

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3 years ago
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The graph represents two complex numbers, z1 and z2, as solid line vectors. Which points represent their complex conjugates?
REY [17]

Point <em>A</em> represents the complex conjugate z₁ and point L represents the complex conjugate of z₂ respectively

The complex conjugate of a complex number is a complex number that having equal magnitude in the real and imaginary part as the complex number to which it is a conjugate, but the imaginary part of the complex conjugate has an opposite sign to the original complex number

Therefore, graphically, the complex conjugate is a reflection of the original complex number across the x-axis because the transformation for a reflection of the point (x, y) across the x-axis is given as follows;

Preimage (x, y) reflected across the <em>x</em> axis give the image (x, -y)

Where in a complex number, we have;

x = The real part

y = The imaginary part

The reflection of z₁ across the x-axis gives the point <em>A</em>, while the reflection of z₂ across the x-axis gives the point <em>L</em>

Therefore;

Point <em>A</em> represents the complex conjugate z₁ and point L represents the complex conjugate of z₂

Learn more about complex numbers here;

brainly.com/question/20365080

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