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viva [34]
3 years ago
7

Dan invests £15000 into his bank account.

Mathematics
1 answer:
Igoryamba3 years ago
8 0

Answer:

$16,557

Step-by-step explanation:

The computation of the amount after four years is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

=  £15,000 × (1 + 2.5%)^4

=  £15,000 × 1.025^4

= $16,557

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Which equation represents a circle with a center at (2, –8) and a radius of 11? (x – 8)2 + (y + 2)2 = 11 (x – 2)² + (y + 8)² = 1
lawyer [7]

Answer:The answer B: (x – 2)² + (y + 8)² = 121

Step-by-step explanation:

Just took the test on edge

4 0
3 years ago
Read 2 more answers
In England a persons weight is commonly given in stones. One English stone is equal to 14 pounds. If an English friends tells yo
Ahat [919]
11 * 14 = 154 lbs since 11lbs=1 stone 11 stones =154lbs
3 0
3 years ago
15. The length of each edge of a regular tetrahedron,
grigory [225]

Slant height of tetrahedron is=6.53cm

Volume of the tetrahedron is=60.35\mathrm{cm}^{3}

Given:

Length of each edge a=8cm

To find:

Slant height and volume of the tetrahedron

<u>Step by Step Explanation: </u>

Solution;

Formula for calculating slant height is given as

Slant height=\sqrt{\frac{2}{3}} a

Where a= length of each edge

Slant height=\sqrt{\frac{2}{3}} \times 8

                     =\sqrt{0.6667} \times 8

                     =0.8165 \times 8=6.53cm

Similarly formula used for calculating volume is given as

Volume of the tetrahedron=\frac{a^{3}}{6 \sqrt{2}}

Substitute the value of a in above equation we get

Volume=\frac{8^{5}}{6 \sqrt{2}}

            =\frac{512}{6 \sqrt{2}}

            =\frac{512}{6 \times 1.414}

Volume=512 / 8.484=60.35\mathrm{cm}^{3}

Result:

Thus the slant height and volume of tetrahedron are 6.53cm and 60.35\mathrm{cm}^{3}

7 0
3 years ago
Find the solution to the system of equations given below using substitution. PLEASE ANSWER QUICKLY
irinina [24]

Answer:

option D

D. x = 5, y = 2

Step-by-step explanation:

Given in the question two equation,

Equation 1

5.3x + y = 28.5

Equation 2

4.2x + 3.1y = 27.2

rearrange equation 1 in terms of y

y = 28.5 - 5.3x

Substitute the value of y in equation 2

<h3>4.2x + 3.1(28.5 - 5.3x) = 27.2</h3>

4.2x + 88.35 - 16.43x = 27.2

4.2x - 16.43x = 27.2 - 88.35

-12.23x = -61.15

x = 61.15/12.23

x = 5

put value of x in any of the equation

<h3>5.3(5) + y = 28.5</h3>

y = 28.5 - 26.5

y = 2

5 0
3 years ago
Nine voltage measurements in a circuit have produced the following values: 12.09, 12.05, 11.94, 11.99, 12.12, 12.05, 12.02, 11.9
Debora [2.8K]

Answer:

we can not reject any value

Step-by-step explanation: From data we can test the highest and the lowest value to evaluate if one of these values are out of certain confidence Interval

If we established CI = 95 % then  α = 5 % and  α/2 = 0,025

From data we find the mean of the values

μ₀  = 12,03   and σ = 0,07

From z table we find z score for 0,025 is  z(c) = ± 1,96

So limits of our CI are:

12,03 + 1,96 =  13,99

12,03 - 1,96 = 10,07

And all our values are within  ( 10,07 , 13,99)

So we can not reject any value

4 0
3 years ago
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