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3 years ago

Mr Parsad places £1007 into a

Mathematics

1 answer:

Nesterboy [21]3 years ago

6 0

Answer:

$ 1,732.04

Step-by-step explanation:

A = $1,732.04

I = A - P = $725.04

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year.

Solving our equation:

A = 1007(1 + (0.08 × 9)) = 1732.04

A = $1,732.04

The total amount accrued, principal plus interest, from simple interest on a principal of $1,007.00 at a rate of 8% per year for 9 years is $1,732.04.

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Find the area of the figure. Round your answer to the nearest tenth.

Natasha2012 [34]

Answer:

D: 65 km²

Step-by-step explanation:

The formula for area of a hexagon when given the base is

A = (3/2)(√3)b² where b is the length of the base

Here, b is given as 5, plug that in and simplify

A = (3/2)(√3)(5²)

A = (3/2)(√3)(25)

A = (75√3)/2

A ≈ 64.95 ≈ 65

5 0

3 years ago

Jessica made $228 for 12 hours of work.

Vinvika [58]

Answer: 8 hrs

Step-by-step explanation:

divide 228 by 12 to get a unit rate of 19 and then divide 152 by 19 to get 8

4 0

3 years ago

Solve Tan^2x/2-2 cos x = 1 for 0 < or equal to theta < greater or equal to 1.

mixer [17]

Answer:

x = theta = 0°

Step-by-step explanation:

Given the trigonometry function

Tan²x/2-2 cos x = 1

Tan²x-4cosx = 2 ... 1

From trigonometry identity

Sec²x = tan²x+1

tan²x = sec²x-1 ... 2

Substituting 2 into 1, we have:

sec²x-1 -4cosx = 2

Note that secx = 1/cosx

1/cos²x - 1 - 4cosx = 2

Let cosx. = P

1/P² - 1 - 4P = 2

1-P²-4P³ = 2P²

4P³+2P²+P²-1 = 0

4P³+3P² = 1

P²(4P+3) = 1

P² = 1 and 4P+3 = 1

P = ±1 and P = -3/4

Since cosx = P

If P = 1

Cosx = 1

x = arccos1

x = 0°

If x = -1

cosx = -1

x = arccos(-1)

x = 180°

Since our angle must be between 0 and 1 therefore x = 0°

4 0

3 years ago

What is the factorization of 3x2 – 8x + 5?

ELEN [110]

we have

$3x^{2} -8x+5$

Equate the expression to zero to find the roots

$3x^{2} -8x+5=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$3x^{2} -8x=-5$

Factor the leading coefficient

$3(x^{2} -(8x/3))=-5$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$3(x^{2} -(8x/3)+(16/9))=-5+(16/3)$

$3(x^{2} -(8x/3)+(16/9))=(1/3)$

Rewrite as perfect squares

$3(x-(4x/3))^{2}=(1/3)$

$(x-(4x/3))^{2}=(1/9)$

square roots both sides

$(x-\frac{4}{3})=(+/-) \sqrt{\frac{1}{9}}$

$x=\frac{4}{3}(+/-) \frac{1}{3}$

the roots are

$x=\frac{4}{3}+ \frac{1}{3}=\frac{5}{3}$

$x=\frac{4}{3}- \frac{1}{3}=\frac{3}{3}=1$

$3x^{2} -8x+5=3(x-\frac{5}{3})(x-1)=(3x-5)(x-1)$

therefore

<u>the answer is the option</u>

$(3x-5)(x-1)$

6 0

3 years ago

Read 2 more answers

The data on the right relate to characteristics of high-definition televisions A through E. Identify the individuals, variable

ANEK [815]

Step-by-step explanation:

(See the chart attached)

The people and users under study and research:

Widescreen projector and projections.
Higher-definition screens.

Factors and its data are researched:

Scale (45, 58, 48, 49, 56) and
Number of available channels (298, 119, 423, 269, 290).

6 0

3 years ago