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Answer:
<em> Anna's wand can cast 70 spells</em>
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Step-by-step explanation:
Elsa's wand can cast 53 spells
her wand casts 17 fewer cells than her sister Anna's
Amount of spells cast by Anna's wand = ?
We write the question down in the form of an equation
where is the amount of spells Anna's wand can cast.
we then proceed to solve by collecting like terms to different sides of the equation. We'll have
which leaves us with
This means that<em> Anna's wand can cast 70 spells.</em>
Answer:
6 Years
Step-by-step explanation:
Orlando invests $1000 at 6% annual interest compounded daily.
Orlando's investment =
Bernadette invests $1000 at 7% simple interest.
Bernadette's investment = A = 1000(1+0.07×t)
By trail and error method we will use t = 5
Bernadette's investment will be after 5 years
1000(1 + 0.07 × 5)
= 1000(1 + 0.35)
= 1000 × 1.35
= $1350
Orlando's investment after 5 years
=
=
= 1000(1.349826)
= 1349.825527 ≈ $1349.83
After 5 years Orlando's investment will not be more than Bernadette's.
Therefore, when we use t = 6
After 6 years Orlando's investment will be = $1433.29
and Bernadette's investment will be = $1420
So, after 6 whole years Orlando's investment will be worth more than Bernadette's investment.
Answer:
1) (n+5)(n-1)
2) (n-4)(n+3)
3) (v-4)(v-1)
4) (p-4)(p+2)
5)(7x-10)(x+1)
6)(7n-1)(n-9)
Step-by-step explanation:
1) Factors of -5 that add up to 4
2) Factors of --12 that add up to -1
3) Factors of 4 that add up to -5
4) Factors of -5 that add up to 4
5) 7-3x-10
7+7x-10x-10
7x(x+1)-10(x+1)
(7x-10)(x+1)
6)7-64n+9
7-63n-n+9
7n(n-9)-(n-9)
(7n-1)(n-9)