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3 years ago

What is the square root of 45

Mathematics

1 answer:

My name is Ann [436]3 years ago

7 0

The square root of 45 is 6.07

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A quadrilateral can be partitioned into two triangles. What is the sum of the angles of a quadrilateral?

Dimas [21]

Answer:

360°

Step-by-step explanation:

Each of the two triangles have 3 angles that add up to 180°.

So,

180° + 180° = 360°

The sum of the angles of a quadrilateral is 360°

8 0

2 years ago

Use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary.

bagirrra123 [75]

Answer:

1.25.

Step-by-step explanation:

The common ratio r is 1/5 and the first term a1 = (1/5)^(1-1) = 1.

Sum to infinity = a1 / (1 - r)

= 1 / (1 - 1/5)

= 1 / 4/5

= 5/4

= 1.25 (answer)

8 0

3 years ago

Read 2 more answers

On the 1st January 2014 Carol invested some money in a bank account.

Ghella [55]

Answer:

$\large \boxed{\text{\pounds 23 360.00}}$

Step-by-step explanation:

The formula for the accrued amount from compound interest is

$A = P \left(1 + \dfrac{r}{n}\right)^{nt}$

1. Amount in account on 1 Jan 2015

(a) Data:

a = £23 517.60

r = 2.5 %

n = 1

t = 1 yr

(b) Calculations:

r = 0.025

$\begin{array}{rcl}23517.60 & = & P\left (1 + \dfrac{r}{n}\right)^{nt}\\\\& = & P\left (1 + \dfrac{0.025}{1}\right)^{1\times1}\\\\& = & P (1 + 0.025)\\ & = & 1.025 P\\P & = & \dfrac{23517.60 }{1.025} \\\\& = & 22 944.00 \\\end{array}$

The amount that gathered interest was £22 944.00 but, before the interest started accruing, Carol had withdrawn £1000 from the account.

She must have had £23 944 in her account on 1 Jan 2015.

(2) Amount originally invested

(a) Data

A = £23 944.00

$\begin{array}{rcl}23 944.00 & = & 1.025 P\\P & = & \dfrac{23 944.00 }{1.025} \\\\& = & \mathbf{23 360.00} \\\end{array}\\\text{Carol originally invested $\large \boxed{\textbf{\pounds23 360.00}}$ in her account.}$