Use the Compound Interest Table to Calculate the Compound Interest

question 22

Essay

Use the compound interest table to calculate the compound interest of $10,000, using 5% interest, compounded annually for 8 years. $\begin{array}{rccccccc}\hline n & 0.5 \% & 1 \% & 1.5 \% & 2 \% & 3 \% & 4 \% & 5 \% \\\hline 1 & 1.00500000 & 1.01000000 & 1.01500000 & 1.02000000 & 1.03000000 & 1.04000000 & 1.05000000 \\2 & 1.01002500 & 1.01010000 & 1.03022500 & 1.04040000 & 1.06090000 & 1.08160000 & 1.10250000 \\3 & 1.01507513 & 1.03030100 & 1.04567837 & 1.06120800 & 1.09272700 & 1.12486400 & 1.15762500 \\4 & 1.02015050 & 1.04060401 & 1.06136355 & 1.08243216 & 1.12550881 & 1.16985856 & 1.21550625 \\5 & 1.02525125 & 1.05101005 & 1.07728400 & 1.10408080 & 1.15927407 & 1.21665290 & 1.27628156 \\\\6 & 1.03037751 & 1.06152015 & 1.09344326 & 1.12616242 & 1.19405230 & 1.26531902 & 1.34009564 \\7 & 1.03552940 & 1.07213535 & 1.10984491 & 1.14868567 & 1.22987387 & 1.31593178 & 1.40710042 \\8 & 1.04070704 & 1.08285671 & 1.12649259 & 1.17165938 & 1.26677008 & 1.36856905 & 1.47745544 \\9 & 1.04591058 & 1.09368527 & 1.14338998 & 1.19509257 & 1.30477318 & 1.42331181 & 1.55132822 \\10 & 1.05114013 & 1.10462213 & 1.16054083 & 1.21899442 & 1.34391638 & 1.48024428 & 1.62889463\end{array}$

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Definitions:

Rutherford

Refers to Ernest Rutherford, the scientist who proposed the model of the atom with a central nucleus surrounded by electrons.

Alpha Particles

A type of ionizing radiation consisting of two protons and two neutrons, emitted from the nucleus of an atom.

Gold Foil

Thin sheets of gold used in scientific experiments, most famously in Rutherford's gold foil experiment which led to the discovery of the nucleus.

Sub-Atomic Particle

Particles smaller than atoms, including protons, neutrons, and electrons.