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kotegsom [21]
2 years ago
9

Each year a salesperson is paid a bonus of $2000 which is banked into the same account. It earns a fixed rate of interest of 6%

p.a. with interest being paid annually. The total amount in the account at the end of each year is calculated as follows:
A0 = 2000
A1 = A0 x 1.06 + 2000
A2 = A1 x 1.06 + 2000 and so on.
Find the total bank balance after 10 years, assuming there are no fees or charges.
Mathematics
1 answer:
ycow [4]2 years ago
5 0
$3200 dollars in the account
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Round 4.265 to the nearest hundredth
jekas [21]
4.265 rounded to the nearest hundredth is 4.27
3 0
2 years ago
As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of 1.11.
Elis [28]

Answer:

124.67cm³

Step-by-step explanation:

==>Given:

Dimensions of current can:

Height (h) = 12cm

Diameter = 6cm (radius = 3cm)

Volume of current can (V1) = 339.12 cm³

Dimensions of future cans to be increased multiple of 1.11:

height = 12cm × 1.11 = 13.32 cm

radius = 3cm × 1.11 = 3.33 cm

Volume of future can (V2) = πr²h = 3.14*3.33²*13.32

= 3.14*11.0889*13.32 = 463.791025

V2 ≈ 463.79 cm³

==>Find how much more would new cans hold = Volume of new can - volume of current can

= 463.79 cm³ - 339.12 cm³

= 124.67cm³

5 0
2 years ago
Complete the equation of the line through (-6,5)(−6,5)left parenthesis, minus, 6, comma, 5, right parenthesis and (-3,-3)(−3,−3)
goldenfox [79]

Answer:

The answer to your question is:   y = -8/3 x - 11

Step-by-step explanation:

A (-6, 5)

B (-3, -3)

Process

1.- Find the slope of the line

Formula

             m = \frac{y2 - y1}{x2 - x1}

Substitution

             m = \frac{-3 - 5}{-3 + 6}

Simplifying

            m = \frac{- 8 }{3}

2.- Find the equation of the line

Formula

              ( y - y1) = m(x - x1)                    

Substitution

             ( y + 3) = -8/3 (x + 3)

Simplifying

              y + 3 = -8/3 x - 8

              y = -8/3 x - 8 - 3

              y = -8/3 x - 11

4 0
2 years ago
Which table describes the behavior of the graph of f(x) = 2x3 – 26x – 24?
In-s [12.5K]

Answer:

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis

Step-by-step explanation:

f(x)=2x^{3}-26x-24

2x^{3}-26x-24=0

2x^{3}-26x-24=0\\2x^{3}-2x-24x-24=0\\2x(x^{2} -1)-24(x+1)=0\\2x(x+1)(x-1)-24(x+1)=0\\(x+1)(2x^{2} -2x-24)=0\\=> x+1=0 => x_{1}=-1\\

=> 2x^{2} -2x-24=0\\=>2(x^{2} -x-12)=0\\=> x^{2} -x-12=0\\=> x^{2} -4x+3x-12=0\\=> x(x-4)+3(x-4)=0\\=> (x-4)(x+3)=0\\

=> x-4=0\\=> x_{2}=4\\=> x+3=0\\=>x_{3}=-3\\

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis



7 0
2 years ago
Read 2 more answers
) for a particular diamond mine, 77% of the diamonds fail to qualify as "gemstone grade". a random sample of 112 diamonds is ana
sweet [91]

We use the z statistic:

z = (x – u) / s

 

But first let us calculate the standard deviation s, sample x and mean u.

s = sqrt (n p q)

s = sqrt (112 * 0.77 * (1 – 0.77))

s = 4.45

 

x = 0.81 * 112 = 90.72

 

u = 0.77 * 112 = 86.24

 

So the z score is:

z = (90.72 – 86.24) / 4.45

z = 1.00

 

From the standard tables, the P value at z = 1.00 using right tailed test is:

<span>P = 0.1587 = 15.87%</span>

7 0
2 years ago
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